Question

Find the volume of a hemisphere that has a diameter of 48 inches answer in terms of tt

Answer 1

We are asked to find the volume of a hemisphere.

The diameter is 48 inches.

Recall that the volume of a hemisphere shape is given by

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

Where r is the radius.

We know that radius is half of the diameter.

`V=(2)/(3)\cdot\pi\cdot((D)/(2))^3`

Substitute the value of diameter and simplify

`\begin{gathered} V=(2)/(3)\cdot\pi\cdot((48)/(2))^3 \\ V=(2)/(3)\cdot\pi\cdot(24)^3 \\ V=(2)/(3)\cdot\pi\cdot(13824) \\ V=9216\pi\: in^3 \end{gathered}`

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