Final answer:
The height of the cylinder is 7.5 cm.
Step-by-step explanation:
To find the height of the cylinder, we need to use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the volume is given as 120π and the radius is 4 cm. So, we can plug in the values and solve for h:
120π = π(4²)h
120 = 16h
h = 120/16
h = 7.5 cm
Therefore, the height of the cylinder is 7.5 cm.