Question

Find the volume of a hemisphere that has a diameter of 48 inches and leave your answer in terms of pie

Answer 1

Given:

Given that the diameter of the hemisphere is 48 inches.

We need to determine the volume of the hemisphere.

Radius:

The radius of the hemisphere can be determined using the formula,

$r=\frac{d}{2}$

Substituting d = 48, we get;

$r=\frac{48}{2}$

$r=24$

Thus, the radius of the hemisphere is 24 inches.

Volume of the hemisphere:

The volume of the hemisphere can be determined using the formula,

$V=\frac{2}{3} \pi r^3$

Substituting r = 24, we get;

$V=\frac{2}{3} \pi (24)^3$

$V=\frac{2}{3} \pi (13824)$

$V=9216 \pi \ in^3$

Thus, the volume of the hemisphere is 9216π cubic inches.