Question

The volume of a hemisphere is $2425\frac{1}{2}$. Find its curved surface area.

Answer 1

Given, Volume of a hemisphere $=2425\frac{1}{2}=\frac{4851}{2}c{m}^3$
We know, Volume of a hemisphere $=\frac{2}{3}\pi r^3$
$\frac{4851}{2}=\frac{2}{3}\pi r^3$
$r^3=$ $\frac{(4851\times 21)}{88}$
$r=10.5$

So, radius of hemisphere is $10.5$ cm.

Curved Surface Area of hemisphere is $10.5$ cm.

Curved Surface Area of hemisphere = $2\pi r^2$
$=2\times \frac{22}{7}\times (10.5{)}^2$
$=693$
Curved Surface area of hemisphere is $693c{m}^2$