The radius of a sphere (in cm) whose voiume is $12 \pi \mathrm{~cm}^{3}$, is\

Question

Professor PC Thomas Classes · Answer

(c): Let radius of the sphere be $r$. 
According to question, $\frac{4}{3} \pi r^{3}=12 \pi$\ $\Rightarrow \quad r^{3}=\frac{3 	imes 12}{4}=9=3^{2} \Rightarrow r=\left(3^{2}ight)^{1 / 3}=(3)^{2 / 3} \mathrm{~cm}$ \ Concept Applied - Volume of sphere $=\frac{4}{3} \pi r^{3}$