A right circular cylinder has a volume of 144pi cm^3 and a height of 9 cm. What is the area of its base? Express you answer in terms of pi.

16π cm²

Explanation:

The volume of a cylinder is denoted by: V = πr²h, where r is the radius and h is the height. And, πr² is the area of the base.

Here, we know the volume is V = 144π and the height is h = 9, so plug these in:

V = πr²h

144π = πr² * 9

Divide both sides by 9:

πr² = 144π/9 = 16π

So the area is 16π cm².

16pi cm²

Explanation:

Volume of cylinder = base area * height

144pi = base area * 9

base area = 144pi/9

base area = 16pi cm²