Question

A cylinder has a radius of 10cm and a height of 9cm. A cone has a radius of 10cm and a height of 9 cm. Show that the volume of the cylinder is three times the volume of the cone.

Answer 1

The answer in the procedure

Explanation:

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

`V=\pi r^(2) h`

we have

`r=10\ cm`

`h=9\ cm`

substitute

`V=\pi (10)^(2)(9)=900\pi\ cm^(2)`

step 2

Find the volume of the cone

The volume of the cone is equal to

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

we have

`r=10\ cm`

`h=9\ cm`

substitute

`V=(1/3)\pi (10)^(2)(9)=300\pi\ cm^(2)`

therefore

we have

`Vcylinder=900\pi\ cm^(2)`

`Vcone=300\pi\ cm^(2)`

so

`Vcylinder=3Vcone`