Question

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

Answer 1

Answer:

h = 18.88 inches

Step-by-step 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

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{20}{2\pi}\\\\r=3.18\ \text{inches}$

So,

$h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{600}{\pi\times (3.18)^2}\\\\h=18.88\ \text{inches}$

So, the height of the cylinder is 18.88 inches.