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The ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5 : 3 . The ratio of their volumes will be?

4 : 9
9 : 4
20 : 27
27 : 20

Correct Answer: 20 : 27

Explanation:

Let radii be 2r and 3r and heights be 5h and 3h.
∴ Ratio of volumes = [π(2r)² x 5h] / [π(3r)² x 3h]
= 20/27 = 20 : 27

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