Question

The height of one right circular cylinder is 7 centimeters and it’s radius is 2 centimeters. The height of the second right circular cylinder is 28 centimeters and it’s radius is also 2 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? Please Explain!!

Answer 1

Volume of a cylinder

`\pi * {r}^(2) * h`

larger cylinder: r=2, h=28

volume of larger cylinder lets say (V) :

`\pi * {2}^(2) *28 \\ = 4 * 28\pi =112\pi`

vokume of smaller cylinder lets say (v): r=2, h=7

`\pi * {2}^(2) * 7 \\ = 4 * 7\pi = 28\pi`

so the ratio= volume of largercylinder/ volume of smaller

`ratio = (112\pi)/(28\pi) \\ = (4)/(1)`

so in ratio terms the

Ans: 4:1