cone Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/cone/ Mathematics is like music - Enjoy it!!! Fri, 11 Dec 2020 07:23:27 +0000 en-US hourly 1 https://wordpress.org/?v=7.0 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png cone Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/cone/ 32 32 Surface Area of Right circular Cone https://mathemafia.com/surface-area-of-right-circular-cone/ Fri, 11 Dec 2020 06:49:16 +0000 http://sh016.global.temp.domains/~mathemaf/?p=4085 The post Surface Area of Right circular Cone appeared first on Mathemafia.

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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.

 

Class 9

All tutorials

Class 10

Planned in 2021

The post Surface Area of Right circular Cone appeared first on Mathemafia.

]]> Right circular Cone https://mathemafia.com/right-circular-cone/ Fri, 11 Dec 2020 06:48:23 +0000 http://sh016.global.temp.domains/~mathemaf/?p=4081 The post Right circular Cone appeared first on Mathemafia.

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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.

 

Class 9

All tutorials

Class 10

Planned in 2021

The post Right circular Cone appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 16 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-16/ Wed, 09 Dec 2020 13:50:40 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3787 Example 16: Monica has a piece of canvas whose area is 551 m2. She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 16 appeared first on Mathemafia.

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Example 16: Monica has a piece of canvas whose area is 551 m2. She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1 m2, find the volume of the tent that can be made with it.

Example 15
Example 17

Cone – Volume

It is quite easy to remember the formula of a cone because it is exactly one-third of the volume of a cylinder with same base radius and height. Watch activity performed in the following video that will never let you forget the formula of volume of cone.

Volume of Cone = πr²h/3

Volume of Cone = 1/3 Volume of cylinder

r = base radius of cone, h = height of cone 

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

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Exercise 13.1

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 16 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 15 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-15/ Wed, 09 Dec 2020 13:47:37 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3786 Example 15: The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone. Example 14 Example 16

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 15 appeared first on Mathemafia.

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Example 15: The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone.

Example 14
Example 16

Cone – Volume

It is quite easy to remember the formula of a cone because it is exactly one-third of the volume of a cylinder with same base radius and height. Watch activity performed in the following video that will never let you forget the formula of volume of cone.

Volume of Cone = πr²h/3

Volume of Cone = 1/3 Volume of cylinder

r = base radius of cone, h = height of cone 

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

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Exercise 13.1

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The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 15 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

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Exercise 13.1

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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

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Exercise 13.1

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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

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Exercise 13.1

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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 13.7 | Question 9 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-7-question-9/ Wed, 09 Dec 2020 06:39:03 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3565 Question 9: A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 9 appeared first on Mathemafia.

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Question 9: A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.

Question 8
Ex: 13.8 | Question 1

Cone – Volume

It is quite easy to remember the formula of a cone because it is exactly one-third of the volume of a cylinder with same base radius and height. Watch activity performed in the following video that will never let you forget the formula of volume of cone.

Volume of Cone = πr²h/3

Volume of Cone = 1/3 Volume of cylinder

r = base radius of cone, h = height of cone 

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

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Examples

Example 11

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Exercise 13.1

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 9 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 8 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-7-question-8/ Wed, 09 Dec 2020 06:38:59 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3564 Question 8: If the triangle ABC in the Question 7 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 8 appeared first on Mathemafia.

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Question 8: If the triangle ABC in the Question 7 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Questions 7 and 8.

Question 7
Question 9

Cone – Volume

It is quite easy to remember the formula of a cone because it is exactly one-third of the volume of a cylinder with same base radius and height. Watch activity performed in the following video that will never let you forget the formula of volume of cone.

Volume of Cone = πr²h/3

Volume of Cone = 1/3 Volume of cylinder

r = base radius of cone, h = height of cone 

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

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Exercise 13.1

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 8 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 7 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-7-question-7/ Wed, 09 Dec 2020 06:38:56 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3563 Question 7: A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained. Question 6 Question 8

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 7 appeared first on Mathemafia.

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Question 7: A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

Question 6
Question 8

Cone – Volume

It is quite easy to remember the formula of a cone because it is exactly one-third of the volume of a cylinder with same base radius and height. Watch activity performed in the following video that will never let you forget the formula of volume of cone.

Volume of Cone = πr²h/3

Volume of Cone = 1/3 Volume of cylinder

r = base radius of cone, h = height of cone 

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

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Examples

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Exercise 13.1

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 7 appeared first on Mathemafia.

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