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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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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 ’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

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