Question

The surface area of a sphere is 9\piπ cm2. What is the volume?

Answer 1

`(9)/(\pi) = 4 * \pi * {r}^(2) \\ {r}^(2) = \frac{9}{4 {\pi}^(2) } \\ r = (3)/(2\pi) \\ volume = (4)/(3) * \pi * {r}^(3) \\ v = (4)/(3) * \pi * \frac{27}{8 {\pi}^(3) } \\ v = \frac{9}{2 {\pi}^(2) }`