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Two cylinders have a 5:3 ratio in height and a 2:3 ratio in radii. Consequently, their volume ratio will be

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27 : 20

20 : 27

4 : 9

9 : 4

answer is B.

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Detailed Solution

It is given that two cylinders have a 5:3 ratio in height and a 2:3 ratio in radii.
We know that the volume of a cylinder =

π r 2 h,

where r is radius and h is the cylinder’s height.
Let's assume that the cylinders are 5H and 3H in height, respectively, and that their radii are 2R and 3R.
Therefore, the volume ratio can be calculated as,

V 1 V 2 = π × 2 R 2 × 5 H π × 3 R 2 × 3 H = π × 4 R 2 × 5 H π × 9 R 2 × 3 H = 2027

So the ratio of their volumes will be 20 : 27.
Hence, option (2) is correct.

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