A cylinder has a diameter of 14 centimeters and a volume of 112 pi cubic centimeters. What is the height, in centimeters, of the cylinder

Diameter of the cylinder = 14 centimeters

Radius of the cylinder = (14/2) centimeters

= 7 centimeters

Volume of the cylinder = 112 π cubic centimeters.

Let us assume the height of the cylinder = h

Then

Volume of the cylinder = π (Radius) ^2 h

112 π = π * (7) ^2 * h

Dividing both sides with π, we get

112 = 49 h

h = 112/49

= 2.285 centimeters

So the height of the cylinder in question is 2.285 centimeters.