Question

The height of a cone is 15 cm. If its volume is 500$\mathrm{\pi }$ cm³, then find the radius of its base.

Answer 1

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

Volume of cone =

It is given that the height of the cone is ‘h’ = 15 cm and that the volume of the cone is

We can now find the radius of base ‘r’ by using the formula for the volume of a cone.

=

=

= 100

= 10

Hence the radius of the base of the given cone is