Class 9 - Cylinder Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/category/class-9-cylinder/ Mathematics is like music - Enjoy it!!! Fri, 11 Dec 2020 07:47:34 +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 Class 9 - Cylinder Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/category/class-9-cylinder/ 32 32 Surface Area of Right Circular Cylinder https://mathemafia.com/surface-area-of-right-circular-cylinder/ Fri, 11 Dec 2020 06:49:27 +0000 http://sh016.global.temp.domains/~mathemaf/?p=4086 The post Surface Area of Right Circular Cylinder appeared first on Mathemafia.

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A closed cylinder has 3 surfaces:

  • Curved or lateral surface 
  • Top 
  • Base

The formula to calculate the curved surface area and total surface area are quite simple to learn and derive.

Lateral or curved surface area of cylinder = 2πrh

r = radius, h = height (or length)

Total surface area of cylinder = 2πr ( r + h ) 

r = radius, h = height (or length)

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

 
Derivation of formula – Surface area of cylinder
 

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]]> Volume and capacity of Cylinder https://mathemafia.com/volume-and-capacity-of-cylinder/ Fri, 11 Dec 2020 06:48:55 +0000 http://sh016.global.temp.domains/~mathemaf/?p=4083 The post Volume and capacity of Cylinder appeared first on Mathemafia.

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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.

 

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The post Volume and capacity of Cylinder appeared first on Mathemafia.

]]> Volume of Cylinder vs Cone https://mathemafia.com/volume-of-cylinder-vs-cone/ Fri, 11 Dec 2020 06:48:31 +0000 http://sh016.global.temp.domains/~mathemaf/?p=4082 Volume of Cylinder vs Cone The volume of a cone is exactly one-third of the volume of a cylinder with same base radius and height. The following activity is very easy for you to perform at home to verify this.…

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Volume of Cylinder vs Cone

The volume of a cone is exactly one-third of the volume of a cylinder with same base radius and height. The following activity is very easy for you to perform at home to verify this. This will help to remember this concept forever. 

 

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]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 14 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-14/ Wed, 09 Dec 2020 13:47:00 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3785 Example 14: At a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled…

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Example 14: At a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses (see Fig. 13.27) of radius 3 cm up to a height of 8 cm, and sold for ` 15 each. How much money does the stall keeper receive by selling the juice completely?

Example 13
Example 15

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

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

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Example 11

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Exercise 13.1

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Exercise 13.3

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Exercise 13.5

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 14 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?…

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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

​

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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Exercise 13.1

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Exercise 13.3

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Exercise 13.6

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Concepts

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

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 8 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-6-question-8/ Wed, 09 Dec 2020 06:16:41 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3463 Question 8: A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare…

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Question 8: A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

Question 7
Ex: 13.7 | Question 1

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

​

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

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Exercise 13.2

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 8 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 7 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-6-question-7/ Wed, 09 Dec 2020 06:16:37 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3462 Question 7: A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 7 appeared first on Mathemafia.

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Question 7: A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the wood and that of the graphite.

Question 6
Question 8

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

​

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

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Exercise 13.1

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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 13.6 | Question 7 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 6 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-6-question-6/ Wed, 09 Dec 2020 06:16:34 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3461 Question 6: The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? Question 5 Question 7

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 6 appeared first on Mathemafia.

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Question 6: The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?

Question 5
Question 7

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

​

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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Exercise 13.3

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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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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 6 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 5 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-6-question-5/ Wed, 09 Dec 2020 06:16:28 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3460 Question 5: It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs. 20 per m2, find inner curved surface area of the…

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Question 5: It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs. 20 per m2, find

  1. inner curved surface area of the vessel,
  2. radius of the base,
  3. capacity of the vessel.
Question 4
Question 6

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

​

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

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Exercise 13.2

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Exercise 13.3

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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 13.6 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 4 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-6-question-4/ Wed, 09 Dec 2020 06:16:23 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3459 Question 4: If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. (Use π = 3.14) Question 3 Question 5

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.6 | Question 4 appeared first on Mathemafia.

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Question 4: If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. (Use π = 3.14)

Question 3
Question 5

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

​

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

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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 | Exercise 13.6 | Question 4 appeared first on Mathemafia.

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