Question

If the surface area of a sphere is $144\pi m^2$, then its volume (in $m^3$) is

Answer 1

Given: Surface area $=144\pi m^2$
Let $r$ be the radius of the sphere
$\therefore 4\pi r^2=144\pi$
$\Rightarrow r^2=\frac{144}{4}=36$
$\Rightarrow r=6m$
$\therefore$ Volume of the sphere $=\frac{4}{3}\pi r^3$
$=\frac{4}{3}\times \pi \times 6\times 6\times 6=288\pi m^3$
Hence, option $\left(a\right)$ is correct.