The ratio of the radii of two right circular cylinders is 2 : 3. If their heights are in the ratio 5 : 3, find the ratio of their volumes.

20 : 27

We know that,

Volume of cylinder = πR²H

The ratio of the radii of two right circular cylinders = 2 : 3

Their heights are in the ratio = 5 : 3

Volume of Cylinder 1 = π(2)²5 = 20π

Volume of Cylinder 1 = π(3)²3 = 27π

The ratio of their volumes = 20π : 27π = 20 : 27