Question

The circumference of a cylinder is 20 inches and the volume is 600 cubic inches. Calculate the height.

Answer 1

h = 18.88 inches

Explanation:

Given that,

The circumference of a cylinder is 20 inches

The volume of the cylinder, V = 600 cubic inches

We need to find the height of the cylinder. We know that the volume of a cylinder is given by :

`V=\pi r^2h`

r is radius

We know that,

circumference = 2πr

`r=(C)/(2\pi)\\\\r=(20)/(2\pi)\\\\r=3.18\ \text{inches}`

So,

`h=(V)/(\pi r^2)\\\\h=(600)/(\pi* (3.18)^2)\\\\h=18.88\ \text{inches}`

So, the height of the cylinder is 18.88 inches.