Question

What is the volume of a hemisphere that has a radius of 80m?

Answer 1

The answer is 134041.3m^3

The volume of a sphere with radius r is:

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

an hesmisphere have half the volume of an sphere, then:

`V_(hemisphere)=(1)/(2)\cdot(4)/(3)\pi r^3=(2)/(3)\pi r^3`

The hemisphere has a diameter of 80m then it's radius is 40m

then

`V=(2)/(3)\pi(40m)^3=(128000)/(3)\pi\approx134041.3m^3`