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The radius of two cylinders are in the ratio of 2 : 3 and their height are in the ratio 5 : 3 . The ratio of their volumes is?

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

Correct Answer: 20 : 27

Explanation:

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

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