Question
Find the radius of the sphere whose surface area is equal to its volume .

Answer

Surface area $=$ volume
$\Rightarrow 4 \pi r^2=\frac{4}{3} \pi r^3$
$\Rightarrow 3 r^2=r^3 $
$\Rightarrow r =3$
Radius of the sphere $=3$ units

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free