sphere Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/sphere/ Mathematics is like music - Enjoy it!!! Wed, 09 Dec 2020 14:38:21 +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 sphere Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/sphere/ 32 32 Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 10 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-10/ Wed, 09 Dec 2020 14:27:15 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3941 Example 10: A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule? Question 9 Class 9 | Home

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 10 appeared first on Mathemafia.

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Example 10: A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?

Question 9
Class 9 | Home

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

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Examples

Example 11

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Example 13

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Exercise 13.1

Question 1

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Exercise 13.2

Question 1

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Exercise 13.3

Question 1

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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 | Exercise 13.8 | Question 10 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 9 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-9/ Wed, 09 Dec 2020 14:27:11 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3940 Example 9: Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S′. Find the (i) radius r ′ of the new sphere, (ii) ratio of S and…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 9 appeared first on Mathemafia.

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Example 9: Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S′. Find the

(i) radius r ′ of the new sphere, (ii) ratio of S and S′.

Question 8
Question 10

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

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Exercise 13.2

Question 1

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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 | Exercise 13.8 | Question 9 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 8 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-8/ Wed, 09 Dec 2020 14:27:08 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3939 Example 8: A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of  Rs. 4989.60. If the cost of white-washing is Rs. 20 per square metre, find the (i) inside…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 8 appeared first on Mathemafia.

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Example 8: A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of  Rs. 4989.60. If the cost of white-washing is Rs. 20 per square metre, find the (i) inside surface area of the dome, (ii) volume of the air inside the dome.

Question 7
Question 9

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

Example 13

Example 14

Example 15

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Exercise 13.1

Question 1

Question 2

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Exercise 13.2

Question 1

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Exercise 13.3

Question 1

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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 | Exercise 13.8 | Question 8 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 7 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-7/ Wed, 09 Dec 2020 14:27:04 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3938 Example 7: Find the volume of a sphere whose surface area is 154 cm2. Question 6 Question 8

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 7 appeared first on Mathemafia.

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Example 7: Find the volume of a sphere whose surface area is 154 cm2.

Question 6
Question 8

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

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Exercise 13.1

Question 1

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Exercise 13.2

Question 1

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Exercise 13.3

Question 1

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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 13.8 | Question 7 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 6 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-6/ Wed, 09 Dec 2020 14:27:00 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3937 Example 6: A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank. Question 5 Question 7

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 6 appeared first on Mathemafia.

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Example 6: A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.

Question 5
Question 7

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

Example 13

Example 14

Example 15

Example 16

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Exercise 13.1

Question 1

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Exercise 13.2

Question 1

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Exercise 13.3

Question 1

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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

Question 2

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 6 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 5 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-5/ Wed, 09 Dec 2020 14:26:56 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3936 Example 5: How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold? Question 4 Question 6

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 5 appeared first on Mathemafia.

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Example 5: How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?

Question 4
Question 6

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

Example 13

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Exercise 13.1

Question 1

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Exercise 13.2

Question 1

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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 13.8 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 4 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-4/ Wed, 09 Dec 2020 14:26:52 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3935 Example 4: The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon? Question 3 Question 5

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 4 appeared first on Mathemafia.

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Example 4: The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Question 3
Question 5

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

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Exercise 13.1

Question 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

Question 1

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 4 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 3 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-3/ Wed, 09 Dec 2020 14:26:49 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3934 Example 3: The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3? Question 2 Question 4

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 3 appeared first on Mathemafia.

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Example 3: The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3?

Question 2
Question 4

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

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

Question 1

Question 2

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 3 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 2 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-2/ Wed, 09 Dec 2020 14:26:45 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3933 Example 2: Find the amount of water displaced by a solid spherical ball of diameter (i) 28 cm (ii) 0.21 m Question 1 Question 3

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 2 appeared first on Mathemafia.

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Example 2: Find the amount of water displaced by a solid spherical ball of diameter (i) 28 cm (ii) 0.21 m

Question 1
Question 3

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

Example 13

Example 14

Example 15

Example 16

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Exercise 13.1

Question 1

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Exercise 13.2

Question 1

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Exercise 13.3

Question 1

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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

Question 2

Question 3

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 2 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 1 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-8-question-1/ Wed, 09 Dec 2020 14:21:20 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3920 Example 1: Find the volume of a sphere whose radius is (i) 7cm (ii) 0.63m Ex: 13.7 | Question 9 Question 2

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 1 appeared first on Mathemafia.

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Example 1: Find the volume of a sphere whose radius is (i) 7cm (ii) 0.63m

Ex: 13.7 | Question 9
Question 2

Sphere – Volume

Volume of sphere = 4πr³/3

Volume of hemisphere = 2πr³/3

r = base 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

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

Question 2

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Question 8

Exercise 13.2

Question 1

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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

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

Question 3

Question 4

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Question 8

Question 9

Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.8 | Question 1 appeared first on Mathemafia.

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