Question

The volume of a solid hemisphere is $1152\pi cu.cm$. Find its curved surface area.

• A. $288\pi {cm}^2$
• B. $88\pi {cm}^2$
• C. $28\pi {cm}^2$
• D. None of these

Answer 1

The correct option is A $288\pi {cm}^2$

We have,

$V=1152\pi c{m}^3$

We know that the volume of the hemisphere

$=\frac{2}{3}\pi r^3$

So,

$\frac{2}{3}\pi r^3=1152\pi$

$r^3=1728$

$r=12cm$

We know that the curved surface area of the hemisphere

$=2\pi r^2$

So,

$=2\pi {12}^2$

$=288\pi c{m}^2$

Hence, this is the answer.