Question

Find the diameter of a sphere whose volume is $179\frac{2}{3}{\text{cm}}^3$.

Answer 1

Volume of the sphere $=\frac{4}{3}\pi r^3$, where $r$ is the radius.
$\therefore \frac{4}{3}\times \frac{22}{7}\times r^3=179\frac{2}{3}=\frac{539}{3}$
or $r^3=49\times \frac{7}{8}={\left(\frac{7}{2}\right)}^3$
or $r=\frac{7}{2}\text{cm}$
$\therefore$ diameter $=\frac{7}{2}\times 2=7\text{cm}$