Question

Volume of a hemisphere of radius r is equal to __________

(a) \(\frac{4}{3} πr^3\)

(b) πr^2h

(c) \(\frac{1}{3}\) πr^2h

(d) \(\frac{2}{3} πr^3\)

I got this question in my homework.

Query is from Volume of a Sphere topic in portion Surface Areas and Volumes of Mathematics – Class 9

Answer 1

The correct answer is (d) \(\frac{2}{3} πr^3\)

For explanation: Volume of a hemisphere is half the volume of a sphere.

We know that volume of a sphere of radius r is equal to \(\frac{4}{3} πr^3\).

Therefore, volume of a hemisphere is equal to \(\frac{2}{3} πr^3\).