right circular cylinder Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/right-circular-cylinder/ Mathematics is like music - Enjoy it!!! Fri, 11 Dec 2020 07:22:27 +0000 en-US hourly 1 https://wordpress.org/?v=7.1.3 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png right circular cylinder Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/right-circular-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
 

Class 9

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The post Surface Area of Right Circular Cylinder appeared first on Mathemafia.

]]> 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.

 

Class 9

All tutorials

Class 10

Planned in 2021

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

]]> 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…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 14 appeared first on Mathemafia.

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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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Examples

Example 11

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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

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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?…

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

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

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Examples

Example 11

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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 | Example 13 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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Example 11

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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 13.8

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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

Example 7

Example 8

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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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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 13.7 | 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

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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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 13.7 | Question 7 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 6 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-7-question-6/ Wed, 09 Dec 2020 06:38:51 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3562 Question 6: The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find (i) height of the cone (ii) slant height of the cone (iii) curved surface area of the cone…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 6 appeared first on Mathemafia.

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Question 6: The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find

(i) height of the cone (ii) slant height of the cone (iii) curved surface area of the cone

Question 5
Question 7

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

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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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 13.7 | Question 6 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 5 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-7-question-5/ Wed, 09 Dec 2020 06:38:49 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3561 Question 5: A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres? Question 4 Question 6

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 5 appeared first on Mathemafia.

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Question 5: A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?

Question 4
Question 6

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

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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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 13.7 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 4 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-7-question-4/ Wed, 09 Dec 2020 06:38:44 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3560 Question 4: If the volume of a right circular cone of height 9 cm is 48 π cm3, find the diameter of its base. Question 3 Question 5

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.7 | Question 4 appeared first on Mathemafia.

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Question 4: If the volume of a right circular cone of height 9 cm is 48 π cm3, find the diameter of its base.

Question 3
Question 5

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

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 13.4

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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 13.7 | Question 4 appeared first on Mathemafia.

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