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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»

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

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



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