Question

The curved surface area of a hemisphere is $905\frac{1}{7}{\text{cm}}^2$, what is its volume?

• A. $3580.57{\text{cm}}^3$
• B. $8220.57{\text{cm}}^3$
• C. $8830.57{\text{cm}}^3$
• D. $3620.57{\text{cm}}^3$

Answer 1

The correct option is D $3620.57{\text{cm}}^3$

Curved surface area of a hemisphere of radius '$r$' $=2\pi r^2$
Given, CSA of the hemisphere $2\times \frac{22}{7}\times r^2=905\frac{1}{7}=\frac{6336}{7}$
Therefore, $r=12$ cm
Volume of a hemisphere of radius '$r$' $=\frac{2}{3}\pi r^3=\frac{2}{3}\times \frac{22}{7}\times 12\times 12\times 12=3620.57{\text{cm}}^3$