Two cones have their heights in the ratio 1 : 3 and the radii of their bases are in the ratio 3 : 1. The ratio of their volume is

A) 1 : 3

B) 3 : 1

C) 1 : 2

D) 2 : 1

Correct answer:
B) 3 : 1

Description for Correct answer:
Let height of the cones are h and 3h and radii of their base are 3r and r respectively.

So ratio of their volumes = \( \large \frac{\frac{1}{3} \pi \left(3r\right)^2 h } {\frac{1}{3} \pi r^2 (3h)} = 3\) i.e., 3 : 1


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