Question

If the volume of a right circular cone of height 9 cm is 48$\mathrm{\pi }$ cm³, find the diameter 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’ = 9 cm and that the volume of the cone is 48π cm³

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

=

=

= 16

= 4

Hence the radius of the base of the cone with given dimensions is ‘r’ = 4 cm.

The diameter of base is twice the radius of the base.

Hence the diameter of the base of the cone is