Question

A cylinder has a height of 9 inches. Its volume is 4,775.94 cubic inches l. What is the radius of the cylinder

Answer 1

The radius of the cylinder is 13.0 inches.

Explanation:

The volume of a cylinder is given by:

`V = \pi r^(2)h`

Where:

V: is the volume = 4775.94 in³

r: is the radius =?

h: is the height = 9 in

Hence, by solving the above equation for "r" we have:

`r = \sqrt{(V)/(\pi h)} = \sqrt{(4775.94 in^(3))/(\pi 9 in)} = 13.0 in`

Therefore, the radius of the cylinder is 13.0 inches.

I hope it helps you!