Question

The volume of a solid sphere of curved surface area $5544{cm}^2$ will be equal to:(Use $\pi =\frac{22}{7}$)

Answer 1

CSA of sphere$=4\pi r^2=5544c{m}^2$

$\Rightarrow 4\times \frac{22}{7}\times r^2=5544\Rightarrow r^2=\frac{5544\times 7}{88}=441$

$\Rightarrow r=\sqrt{441}=21cm$

$\therefore$Volume of sphere$=\frac{4}{3}\pi r^3=\frac{4}{3}\times \frac{22}{7}\times 21\times 21\times 21$

$=38,808c{m}^3$