Question

The volume of a cylinder is 980 in cubed.

The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Answer 1

9514 1404 393

Answer:

3.95 in

Explanation:

The volume is given by ...

V = πr²h

Solving for radius, we get ...

r = √(V/(πh))

For the given numbers, the radius is ...

r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.