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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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