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
112π = 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.