Question

A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state thr number of cubic inches in the volume of the cone, in terms of  π.​

Answer 1

Given:

Radius of the cone = 3 inches

Height of the cone = 8 inches

To find:

The volume of the cone, in terms of π.​

Solution:

We know that, the volume of a cone is:

`V=(1)/(3)\pi r^2h`

Putting
`r=3,h=8`, we get

`V=(1)/(3)\pi (3)^2(8)`

`V=(1)/(3)\pi (9)(8)`

`V=(72)/(3)\pi`

`V=24\pi`

Therefore, the volume of the cone is
`24\pi`.