2012-05-25 09:00:42

A right circular cylinder has a volume of 192π inches. If its height is 12 inches, what is the diameter of its base in inches?

The correct answer is 8

Explanation: The formula for the volume of a right cylinder is πr²h (where r is the radius of the base and h is the height of the cylinder). Use this formula with the volume given in the question and the given height of 12 inches:

192π = πr²12

Divide both sides of the equation by 12π to get 16 = r²

Square root both sides of the equation to get r = 4. Diameter is 2r, so the diameter of this cylinder is 2(4), or 8 inches.