Answer:
[tex]area = 144\pi[/tex]
Step-by-step explanation:
[tex]volume = \frac{4}{3} \pi {r}^{3} \\ \\ 288\pi = \frac{4}{3} \pi {r}^{3} \\ \\ 3(288\pi) = 4\pi {r}^{3} \\ \\ \frac{3(288\pi)}{4\pi} = {r}^{3} \\ \\ 216 = {r}^{3} \\ \\ r = \sqrt[3]{216} \\ r = 6[/tex]
[tex]area = 4\pi {r}^{2} \\ area = 4\pi ({6}^{2}) \\ area = 144\pi[/tex]
