Question

The volume of a hemisphere of radius r is ______ .

• A. $\frac{1}{2}\pi r^2$
• B. $\frac{2}{3}\pi r^2$
• C. $\frac{1}{4}\pi r^3$
• D. $\frac{2}{3}\pi r^3$

Answer 1

The correct option is D $\frac{2}{3}\pi r^3$

We know that volume of a sphere is $\frac{4}{3}\pi r^3$.
Since a hemisphere is half of a sphere, the volume of a hemisphere will be $\frac{1}{2}$ of $\frac{4}{3}\pi r^3$ .
So, volume of a hemisphere = $\frac{2}{3}\pi r^3$ where r is the radius of the hemisphere.