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:

$V=\dfrac{1}{3}\pi r^2h$

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

$V=\dfrac{1}{3}\pi (3)^2(8)$

$V=\dfrac{1}{3}\pi (9)(8)$

$V=\dfrac{72}{3}\pi$

$V=24\pi$

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