Question

Ratio of volume of a cone to the volume of a cylinder for same base radius and same height is __________

(a) 3

(b) \(\frac{1}{3}\)

(c) 2

(d) \(\frac{1}{2}\)

The question was posed to me during an online exam.

Origin of the question is Volume of a Right Circular Cone topic in portion Surface Areas and Volumes of Mathematics – Class 9

Answer 1

Correct option is (b) \(\frac{1}{3}\)

The explanation: We know that volume of a cone = \(\frac{1}{3}\) πr^2h and volume of a cylinder= πr^2h

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

= \(\frac{1}{3}\).