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If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is - Mathematics

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MCQ

If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is

Options

  • `1/3 pir^3`

  • `2/3 pir^3`

  • `3 pir^3`

  • `9 pir^3`

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Solution

The formula of the volume of a cone with base radius ‘r’ and vertical height ‘h’ is given as

Volume of cone =  `1/3 pi r^2 h`

Here it is given that the base radius is ’3r’ and that the vertical height is ‘3r

Substituting these values in the above equation we get

Volume of cone = `1/3 pi(3r)^2(3r)`

= `9pir^3`

Concept: Volume of a Right Circular Cone
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 20 Surface Areas and Volume of A Right Circular Cone
Q 5 | Page 24

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