Question

Find the volume of a sphere, if its surface area is $154sq.cm$

Answer 1

Let the radius of the sphere be $r$ cm.
Surface area of the sphere$=154c{m}^2$
$\therefore 4\pi r^2=154c{m}^2$
$\Rightarrow 4\times \frac{22}{7}\times r^2=154$
$\Rightarrow r=\frac{154\times 7}{88}=12.25$
$\Rightarrow r^2=(3.5{)}^2$
$\Rightarrow r=3.5$
$\therefore$ Volume of the sphere $=\frac{4}{3}\pi r^3=\frac{4}{3}\times \frac{22}{7}\times (3.5{)}^3=179.67c{m}^3$
Thus, the volume of the sphere is $179.67c{m}^3$.