curved surface area Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/curved-surface-area/ Mathematics is like music - Enjoy it!!! Thu, 11 May 2023 08:49:42 +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 curved surface area Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/curved-surface-area/ 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.

]]> 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.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 12 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-12/ Wed, 09 Dec 2020 13:50:22 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3783 Example 12: A child playing with building blocks, which are of the shape of cubes, has built a structure as shown in Fig. 13.25. If the edge of each cube is 3 cm, find the volume of the structure built…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 12 appeared first on Mathemafia.

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Example 12: A child playing with building blocks, which are of the shape of cubes, has built a structure as shown in Fig. 13.25. If the edge of each cube is 3 cm, find the volume of the structure built by the child.

Example 11
Example 13

Cube & Cuboid

Finding volume of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is multiply the length, breadth and height to find the volume or capacity. However, there is some difference between volume and capacity of an object. This has been explained in the video embedded in the end of the post. 

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

Volume of cuboid = length * breadth * height = l * b * h

Volume of cube = a³ ( where a is any edge of the cube)

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

 
It is recommended to understand the concept of volume and capacity before you attempt any questions related to volume and capacity of cube and cuboid.
 

Chapter 13 – Surface areas and Volumes

​

Examples

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Exercise 13.1

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The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 12 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 13 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-13/ Wed, 09 Dec 2020 13:46:33 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3784 Example 13: The pillars of a temple are cylindrically shaped (see Fig. 13.26). If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars?…

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

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Example 13: The pillars of a temple are cylindrically shaped (see Fig. 13.26). If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars?

Example 12
Example 14

Cylinder – Volume & Capacity

In this tutorial, you will learn the meaning of volume and capacity of cylinder and the difference between them, demonstrated with practical examples.

 

Volume of cylinder = πr²h

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

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

Chapter 13 – Surface areas and Volumes

​

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Exercise 13.1

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

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 11 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-11/ Wed, 09 Dec 2020 13:43:05 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3778 Example 11: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 11 appeared first on Mathemafia.

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Example 11: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?

Example 10
Example 12

Cube & Cuboid

Finding volume of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is multiply the length, breadth and height to find the volume or capacity. However, there is some difference between volume and capacity of an object. This has been explained in the video embedded in the end of the post. 

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

Volume of cuboid = length * breadth * height = l * b * h

Volume of cube = a³ ( where a is any edge of the cube)

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

 
It is recommended to understand the concept of volume and capacity before you attempt any questions related to volume and capacity of cube and cuboid.
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

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Exercise 13.1

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The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 11 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 10 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-10/ Wed, 09 Dec 2020 13:19:43 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3676 Example 10: A hemispherical dome of a building needs to be painted (see Fig. 13.21). If the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is `…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 10 appeared first on Mathemafia.

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Example 10: A hemispherical dome of a building needs to be painted (see Fig. 13.21). If the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is ` 5 per 100 cm2.

Example 9
Example 11

Sphere – Surface area

********* This section will be updated later *********

 

Surface area of sphere = 4πr²

r = radius of sphere

Lateral or curved surface area of hemisphere = 2πr²

Total surface area of hemisphere = 2πr² + πr² = 3πr²

r = radius of sphere

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 10 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 9 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-9/ Wed, 09 Dec 2020 13:19:39 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3675 Example 9: The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding. Example 8 Example 10

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

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Example 9: The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.

Example 8
Example 10

Sphere – Surface area

********* This section will be updated later *********

 

Surface area of sphere = 4πr²

r = radius of sphere

Lateral or curved surface area of hemisphere = 2πr²

Total surface area of hemisphere = 2πr² + πr² = 3πr²

r = radius of sphere

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

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 8 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-8/ Wed, 09 Dec 2020 13:19:34 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3674 Example 8: Find (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 21 cm. Example 7 Example 9

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

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Example 8: Find (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 21 cm.

Example 7
Example 9

Sphere – Surface area

********* This section will be updated later *********

 

Surface area of sphere = 4πr²

r = radius of sphere

Lateral or curved surface area of hemisphere = 2πr²

Total surface area of hemisphere = 2πr² + πr² = 3πr²

r = radius of sphere

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

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Exercise 13.1

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Concepts

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

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 7 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-7/ Wed, 09 Dec 2020 13:19:31 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3673 Example 7: Find the surface area of a sphere of radius 7 cm. Example 6 Example 8

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

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Example 7: Find the surface area of a sphere of radius 7 cm.

Example 6
Example 8

Sphere – Surface area

********* This section will be updated later *********

 

Surface area of sphere = 4πr²

r = radius of sphere

Lateral or curved surface area of hemisphere = 2πr²

Total surface area of hemisphere = 2πr² + πr² = 3πr²

r = radius of sphere

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

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Exercise 13.1

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Exercise 13.7

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 7 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

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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.

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