Question

PLEASE HELP ME OUT...

Answer 1

`area = 144\pi`

Explanation:

`volume = (4)/(3) \pi {r}^(3) \\ \\ 288\pi = (4)/(3) \pi {r}^(3) \\ \\ 3(288\pi) = 4\pi {r}^(3) \\ \\ (3(288\pi))/(4\pi) = {r}^(3) \\ \\ 216 = {r}^(3) \\ \\ r = \sqrt[3]{216} \\ r = 6`

`area = 4\pi {r}^(2) \\ area = 4\pi ({6}^(2)) \\ area = 144\pi`