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

Answer:

The answer in the procedure

Step-by-step 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

$Vcylinder=3Vcone$