Question

Volume of a right circular cone of radius r and height h is given by __________

(a) \(\frac{4}{3} πr^3\)

(b) πr^2h

(c) \(\frac{1}{3}\) πr^2h

(d) \(\frac{2}{3}\) πr^3

I had been asked this question in quiz.

The above asked question is from Volume of a Right Circular Cone in portion Surface Areas and Volumes of Mathematics – Class 9

Answer 1

Right choice is (c) \(\frac{1}{3}\) πr^2h

Easiest explanation: Volume of three cones is equal to volume of a cylinder which has the same radius and height as the cone.

We know that volume of a cylinder = πr^2h

Hence, volume of a cone = \(\frac{1}{3}\) πr^2h.