Question

When you cut a sphere in half by passing a plane through its center, the result is a hemisphere.12 ftPart AWrite a formula for the volume V of a hemisphere. Explain how you found it.aEnter the correct answers in the boxes.

Answer 1

The formula for the volume of a sphere is

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

where r represents the radius of the sphere.

A hemisphere is half of a sphere, therefore, it has half the volume of a sphere. A formula for the volume of a hemisphere is half the volume of a sphere, which is

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

The volume of a hemisphere is

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