Answer :

Given: The radii of two cylinders are in the ratio 2:3.


Heights of the cylinders are in the ratio 5:3.


Volume of cylinder is: πr2h (here r and h are radius and height of the cylinder respectively)


Let V1 be the volume of first cylinder


V1 = π(r1)2h1


Let V2 be the volume of second cylinder


V2 = π(r2)2h2


V1 : V2 = π(r1)2h1 : π(r2)2h2


V1 : V2 = π × (2)2 × 5 : π × (3)2 × 3


V1 : V2 = 20π : 27π = 20:27


V1 : V2 = 20:27


That is the ratio of their volume is 20:27.

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