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=(d)/(2)`

Substituting d = 48, we get;

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

Substituting r = 24, we get;

`V=(2)/(3) \pi (24)^3`

`V=(2)/(3) \pi (13824)`

`V=9216 \pi \ in^3`

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