2014-09-19 09:00:01

A right circular cylinder has a volume of 72π. If its base has a diameter of 8, what is its height?

The correct answer is 4.5

Explanation: The volume of a circular cylinder is found by multiplying the area of the base by the height. The area of the base is the square of the radius times π. If the base has a diameter of 8, its radius is 4. Thus, the area of the base is (4•4)π, or 16π. Let h be the height and set up an equation: 72π = 16πh. Divide both sides by 16π to get h = 4.5.