Question

The surface area of a sphere is 616 cm². What is its volume? $\left(\mathrm{\pi }=\begin{array}{c}22\\ 7\end{array}\right)$

Answer 1

Given:
Surface area of the sphere = 616 cm³
We know:
Surface area of a sphere = 4$\mathrm{\pi }$r²
$$\begin{gathered} \Rightarrow 616=4\times \frac{22}{7}\times r^2 \\ \Rightarrow r^2=\frac{616\times 7}{4\times 22} \\ \Rightarrow r^2=49 \\ \Rightarrow r=\sqrt{49}=7\mathrm{cm} \end{gathered}$$
Now,
Volume of the sphere = $\frac{4}{3}\mathrm{\pi }{r}^{\mathit{3}}$
= $\frac{4}{3}\times \frac{22}{7}\times 7^3$
= 1437.33
Hence, the volume of the sphere is 1437.33 cm³.