Question

Find the volume of a sphere whose surface area is $154$ square cm.

Answer 1

Surface Area $=154$ square cm.

$4\pi r^2=154$

$r^2=\frac{154\times 7}{4\times 22}=\frac{49}{4}$

$r=\frac{7}{2}$ $cm$

Volume,

$V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\times \frac{22}{7}\times (\frac{7}{2}{)}^3$

$V=179.66$ $c{m}^3$