Question

A cone has a base area of 20 m and a volume of 160 m. Find the height of the cone​

Answer 1

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

`V=(1)/(3)Bh`

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

`160=(1)/(3)(20)h`

`480=20h`

`(480)/(20)=h`

`24=h`

Therefore, the height of the cone is 24 m.