Question

The surface area of a solid metallic sphere is $2464c{m}^2$. Calculate the radius of the sphere (in $cm$).

Answer 1

Let the radius of sphere $=rcm$.
Then, surface area of sphere $=4\pi r^2=2464c{m}^2$ (given)
$⟹$ $r^2=\frac{2464}{4\pi }$
$⟹$ $r^2=\frac{2464\times 7}{4\times 22}=196$
$⟹$ $r=14cm$.

Hence, the required radius $=14cm$.