Question

A cylinder has a height of 11 inches. Its volume is 4,973.76 cubic inches. What is the radius of the cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

12 inches

Explanation:

Given data

Height= 11 inces

Volume= 4,973.76 cubic inches.

The expression for the volume of a cylinder is

V= πr^2h

substitute

4,973.76= 3.14*r^2*11

4,973.76= 34.54r^2

r^2= 4,973.76/ 34.54

r^2= 144

Square root both sides

r=√144

r=12 inches