#### Question

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`

#### 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 ’3*r*’ and that the vertical height is ‘3*r*’

Substituting these values in the above equation we get

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

= `9pir^3`

Is there an error in this question or solution?

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Solution 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 Concept: Volume of a Right Circular Cone.

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