Question

Area of base of a solid hemisphere is $36\pi sqcm.$ Then its volume is :

• A. $288\pi c{m}^3$
• B. $108\pi c{m}^3$
• C. $144\pi c{m}^3$
• D. $72\pi c{m}^3$

Answer 1

The correct option is C $144\pi c{m}^3$

Area of base of solid hemisphere $=36\pi$

$\pi r^2=36\pi$

$r=6cm$

Volume of hemisphere $=\frac{2}{3}\pi r^3=\frac{2}{3}\times 6\times 6\times 6\times \pi =144\pi {cm}^3$