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in Mensuration by (34.5k points)
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A cylinder and cone have bases of equal radii and are of equal heights then the volumes are in the ratio is ………… 

(A) 1 : 2 

(B) 2 : 1 

(C) 3 : 1 

(D) 1 : 3

2 Answers

+1 vote
by (66.4k points)
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Best answer

Correct option is: (C) 3 : 1

Let r and h be the radii and heights of both cylinder and cube.

\(\therefore\) Volume of cylinder = \(\pi r^2\)h

volume of cone = \(\frac 13\) \(\pi r^2\)h

\(\therefore\) Ratio of their volumes = \(\frac {V_1}{V_2} \) = \( \frac {\pi r^2h}{\frac 13 \pi r^2h}\) = \(\frac 31\) = 3 :1

Hence, their volumes are in the ration 3 : 1

+1 vote
by (35.6k points)

Correct option is: (C) 3 : 1

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