Question

The height of a cone is 15 cm. If its volume is 500  π 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 =  `1/3 pi r^2 h`

It is given that the height of the cone is ‘h’ = 15 cm and that the volume of the cone is  ` 500 pi cm^3`

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

`r^2 = (3("Volume of the cone "))/(pih) `

`=(3(500 pi))/(pi(15))`

`r^2`= 100

r = 10

Hence the radius of the base of the given cone is 10 cm .