Question

the surface area of a sphere is 616cm².find its volume​

Answer 1

Answer:

$Volume \: of \: sphere = 1437.33 {cm}^{3}$

Step-by-step explanation:

$TSA \: of \: sphere=616 {cm}^{2} \\ 4\pi {r}^{2} = 616 \\ 4 \times \frac{22}{7} \times {r}^{2} = 616 \\ {r}^{2} = 616 \times \frac{1}{4} \times \frac{7}{22} \\ {r}^{2} = 7 \times 7 \\ {r}^{2} = 49 \\ r = \sqrt{49} \\ r = 7cm \\ Volume \: of \: sphere \\ = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7 \\ = \frac{4 \times 22 \times 7 \times 7}{3} \\ = \frac{4312}{3} \\ = 1437.33 {cm}^{3}$