surface area of cone Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/surface-area-of-cone/ Mathematics is like music - Enjoy it!!! Thu, 11 May 2023 08:49:42 +0000 en-US hourly 1 https://wordpress.org/?v=7.1 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png surface area of cone Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/surface-area-of-cone/ 32 32 Class 9 Chapter 11 | All Solutions | Surface Areas and Volumes https://mathemafia.com/class-9-chapter-11-all-solutions-surface-areas-and-volumes/ Thu, 16 Dec 2021 15:36:02 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7192 This playlist consists of 101 questions, concepts, theorems and examples of class 9 chapter 13 (Surface Areas and Volumes) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. Every video in this series has been thoroughly visualised…

The post Class 9 Chapter 11 | All Solutions | Surface Areas and Volumes appeared first on Mathemafia.

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This playlist consists of 101 questions, concepts, theorems and examples of class 9 chapter 13 (Surface Areas and Volumes) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial.

Every video in this series has been thoroughly visualised 🔍  prior to preparing the corresponding tutorial. This chapter is always a trouble to some extent to students 👩‍🎓. The reason is more the lack of visualisation rather than the knowledge of the subject. Every shape that we refer in these questions is used in our daily life in the form of different utensils, sports objects or other household objects like: Circle, sphere, cone, cylinder , cuboid can be compared to Roti, Cricket ball, Ice Cream cone, a glass and a gift box  🎁  respectively.

In every question, real life objects are used to better explain the questions so that you can also visualise and not just solve a question momentarily. Primary focus is to help students understand the underlying concepts and not just go with RATTEBAJI.🥸  🥸  🥸

Watch complete chapter on YouTube

There has been a lot of efforts  🏋️‍♀️  🏋️‍♀️  🏋️‍♀️   put in all these videos (Class 9 Chapter 13) and it will be really great and helpful if you share these videos with your friends  👯‍♀️ 👯‍♀️ 👯‍♀️   and classmates. You can share through WhatsApp, SnapChat, Messenger etc. Click any of the following icons to share it now.

The post Class 9 Chapter 11 | All Solutions | Surface Areas and Volumes appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 6 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-6/ Wed, 09 Dec 2020 13:19:25 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3672 Example 6: A corn cob (see Fig. 13.17), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length (height) as 20 cm. If each 1 cm2 of the surface of the cob carries…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 6 appeared first on Mathemafia.

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Example 6: A corn cob (see Fig. 13.17), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length (height) as 20 cm. If each 1 cm2 of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob.

Example 5
Example 7

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 13.2

Question 1

Question 2

Question 3

Question 4

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Question 7

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Question 10

Question 11

Exercise 13.3

Question 1

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Exercise 13.4

Question 1

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Exercise 13.5

Question 1

Question 2

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Exercise 13.6

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Exercise 13.7

Question 1

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Exercise 13.8

Question 1

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 6 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 5 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-5/ Wed, 09 Dec 2020 13:19:21 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3671 Example 5: The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area and the total surface area of the cone (Use π = 3.14). Example 4 Example 6

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 5 appeared first on Mathemafia.

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Example 5: The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area and the total surface area of the cone (Use π = 3.14).

Example 4
Example 6

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

Question 3

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Question 8

Exercise 13.2

Question 1

Question 2

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Question 5

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

Question 1

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 4 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-4/ Wed, 09 Dec 2020 13:17:07 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3666 Example 4: Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm. Example 3 Example 5

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 4 appeared first on Mathemafia.

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Example 4: Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.

Example 3
Example 5

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

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Exercise 13.1

Question 1

Question 2

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Exercise 13.2

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 4 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 8 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-3-question-8/ Fri, 04 Dec 2020 14:46:55 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3006 Question 8: A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 8 appeared first on Mathemafia.

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Question 8: A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs. 12 per m², what will be the cost of painting all these cones?

Question 7
Ex: 13.4 | Question 1

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 13.2

Question 1

Question 2

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Exercise 13.3

Question 1

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Exercise 13.4

Question 1

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

Question 1

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 8 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 7 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-3-question-7/ Fri, 04 Dec 2020 14:46:51 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3005 Question 7: A joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps. Question 6 Question 8

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 7 appeared first on Mathemafia.

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Question 7: A joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

Question 6
Question 8

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 13.2

Question 1

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Question 9

Question 10

Question 11

Exercise 13.3

Question 1

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Exercise 13.4

Question 1

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Exercise 13.5

Question 1

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Exercise 13.6

Question 1

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Exercise 13.7

Question 1

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Exercise 13.8

Question 1

Question 2

Question 3

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Question 6

Question 7

Question 8

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 7 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 6 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-3-question-6/ Fri, 04 Dec 2020 14:46:47 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3004 Question 6: The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs. 210 per 100 m². Question 5 Question 7

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 6 appeared first on Mathemafia.

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Question 6: The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs. 210 per 100 m².

Question 5
Question 7

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 13.2

Question 1

Question 2

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Exercise 13.3

Question 1

Question 2

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Exercise 13.4

Question 1

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Question 7

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Exercise 13.5

Question 1

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Exercise 13.6

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Exercise 13.7

Question 1

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Question 7

Question 8

Question 9

Exercise 13.8

Question 1

Question 2

Question 3

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Question 6

Question 7

Question 8

Question 9

Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 6 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 5 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-3-question-5/ Fri, 04 Dec 2020 14:46:42 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3003 Question 5: What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 5 appeared first on Mathemafia.

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Question 5: What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm (Use π = 3.14).

Question 4
Question 6

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 13.2

Question 1

Question 2

Question 3

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Question 8

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Question 10

Question 11

Exercise 13.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 13.4

Question 1

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Exercise 13.5

Question 1

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Exercise 13.6

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Exercise 13.7

Question 1

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Question 7

Question 8

Question 9

Exercise 13.8

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 4 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-3-question-4/ Fri, 04 Dec 2020 14:46:39 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3002 Question 4: A conical tent is 10 m high and the radius of its base is 24 m. Find slant height of the tent. cost of the canvas required to make the tent, if the cost of 1 m² canvas…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 4 appeared first on Mathemafia.

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Question 4: A conical tent is 10 m high and the radius of its base is 24 m. Find
  1. slant height of the tent.
  2. cost of the canvas required to make the tent, if the cost of 1 m² canvas is Rs. 70.
Question 3
Question 5

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 13.2

Question 1

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Question 3

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Question 5

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Question 7

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Question 10

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Exercise 13.3

Question 1

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Question 7

Question 8

Exercise 13.4

Question 1

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Exercise 13.5

Question 1

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

Question 1

Question 2

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Question 6

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Question 8

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 4 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 3 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-3-question-3/ Fri, 04 Dec 2020 14:46:34 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3001 Question 3: Curved surface area of a cone is 308 cm² and its slant height is 14 cm. Find radius of the base and total surface area of the cone. Question 2 Question 4

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Question 3: Curved surface area of a cone is 308 cm² and its slant height is 14 cm. Find
  1. radius of the base and
  2. total surface area of the cone.
Question 2
Question 4

Cone

Cone is an interesting geometric figure to understand and work upon. You come across so many items in daily life that are conical in shape – like a picnic tent, an ice cream cone, a birthday cap and there are many more that you can think about.

In this chapter we will work on only right circular cones. To understand what a right circular cone is, watch the following video.

 

Lateral or curved surface area of cone = πrl

r = base radius, l = slant height

Total surface area of cylinder = πrl + πr² = πr (l + r)

r = base radius, l = slant height

To understand the above mentioned formulas, watch the following video. It is highly recommended to watch it before you attempt any cone related questions.

What is Area / Surface area / Volume

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 

Chapter 13 – Surface areas and Volumes

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Examples

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Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

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Exercise 13.2

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.3 | Question 3 appeared first on Mathemafia.

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