From diameter you get radius by halving the diamter
radius = 14/2 = 7 cm
volume, height, and radius of a cylinder are all related by formula for volume of cylinder:
V = πr²h
If we want to solve for h, we divide both sides by πr² and get
h = V/(πr²)
since V = 112π and r = 7, h is equal to
h = (112π)/(π*7²) = 112/49 = 16/7 cm
height is C 16/7 cm