Question

$\text{If the surface area of a sphere is}\left(144\pi \right)m^2\text{then its volume is}\left(a\right)\left(288\pi \right)m^3\left(b\right)\left(188\pi \right)m^3\left(c\right)\left(300\pi \right)m^3\left(d\right)\left(316\pi \right)m^3$

Answer 1

ANSWER:
(a) $\left(288\pi \right)m^3$
Surface area =$\left(144\pi \right)m^2$
Ler r m be the radius of the sphere.
Then we have:
$4\pi r^2=144\pi$
⇒$r^2=\frac{144}{4}=36$
⇒r =6 m

∴ Volume of the sphere = $\frac{4}{3}\pi r^3$
=$\frac{4}{3}\pi \times 6\times 6\times 6$