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 :
[tex]V=\pi r^2h[/tex]
r is radius
We know that,
circumference = 2πr
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{20}{2\pi}\\\\r=3.18\ \text{inches}[/tex]
So,
[tex]h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{600}{\pi\times (3.18)^2}\\\\h=18.88\ \text{inches}[/tex]
So, the height of the cylinder is 18.88 inches.
