The volume of a solid hemisphere is $\frac{396}{7} \mathrm{~cm}^{3}$. The total surface area of the

Question

The volume of a solid hemisphere is $\frac{396}{7} \mathrm{~cm}^{3}$. The total surface area of the solid hemisphere (in sq. cm) is\

Professor PC Thomas Classes · Answer

(b) : Volume of solid hemisphere $=\frac{2}{3} \pi r^3$
$
\begin{aligned}
& \Rightarrow \quad \frac{2}{3} 	imes \frac{22}{7} 	imes r^3=\frac{396}{7} \Rightarrow r^3=27 \Rightarrow r=3 \mathrm{~cm} \
& 	herefore \quad 	ext { Total surface area }=3 \pi r^2=3 	imes \frac{22}{7} 	imes 9=\frac{594}{7} \mathrm{~cm}^2
\end{aligned}
$