Question

What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenth of a cubic inch?

Answer 1

Answer:
`V=47,721.9in^3`

Explanation:

The volume of a hemisphere would be 1/2 of the volume of a sphere. The volume of a sphere is defined to be:

`V=(4)/(3) \pi r^3`

Therefore the volume of a hemisphere would be:

`V=(1)/(2)( (4)/(3) \pi r^3)=(2)/(3) \pi r^3`

Plug everything in:

`V=(2)/(3) \pi r^3=(2)/(3) \pi (28.35)^3=47,721.9in^3`