Acylinder has a diameter of 14 centimeters and a volume of 112pi cubic centimeters. what is the height, in centimeters, of the cylinder?

Formula for volume of a cylinder is 


where r is the radius and h is the height

We can set v equal to 112π as we are given that.
We can set r to 7 as we are given the diameter, 14, and the radius is half of that.



Simplify this equation,


Our goal is to to isolate h, as we are trying to find the height.
So divide 49π on both sides,
 
The π's cancel out and we are left with 
or 16/7 centimeters.

Hope this helped! :)