Question

The volume of a hemisphere is $2425\frac{1}{2}c{m}^3.$ Find its curved surface area.

Answer 1

Solution:-
Given : Volume of hemisphere = $2425\frac{1}{2}c{m}^3$ or $2425.5c{m}^3$
Volume of hemisphere = 2/3πr³
2425.5 = $\frac{2}{3}\times \frac{22}{7}\times r^3$
r³ = $\frac{2425.5\times 21}{44}$
r³ = $\frac{50935.5}{44}$
r³ = 1157.625
r = 10.5 cm
Now,
Curved Surface Area of hemisphere = 2πr²
= $2\times \frac{22}{7}\times 10.5\times 10.5$
= 693 $c{m}^2$
CSA of hemisphere is 693 $c{m}^2$
Answer.