Question

A cylinder has a radius of 6 centimeters. its volume is 1,695.6 cubic centimeter. what is the height of the cylinder

use 3.14 and round your answer to nearest hundredth

Answer 1

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

We are given that the radius of the cylinder is 6 centimeters and the volume is 1,695.6 cubic centimeters. Using these values, we can set up an equation:

1,695.6 = 3.14 x 6^2 x h

Simplifying:

1,695.6 = 113.04h

h = 1,695.6 / 113.04

h ≈ 15.01

Rounding to the nearest hundredth, the height of the cylinder is approximately 15.01 centimeters.