Question

Find the volume of a Sphere whose surface area is 616m²

Answer 1

Step-by-step explanation:

surface area of the sphere = 616m²

4πr² = 616 m²

volume of sphere = 4/3 π r³

$4\pi {r}^{2} = 616 \\ 4 \times \frac{22}{7} \times {r}^{2} = 616 \\ {r}^{2} = \frac{616 \times 7}{4 \times 22} \\ {r}^{2} = \frac{154 \times 7}{22} \\ {r}^{2} = 7 \times 7 \\ r = \sqrt{7 \times 7} \\ r = 7$

radius of sphere = 7 m

volume of sphere

$\frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times {7}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7 \\ = \frac{4}{3} \times 22 \times 7 \times 7 \\ = \frac{4}{3} \times 154 \times 7 \\ = \frac{4}{3} \times 1099 \\ = \frac{4396}{3} \\ = 1465.33$

the volume of sphere is 1465.33 m³

Hope you get your answer