Question

The radii of two cylinder are in the ratio of 2:3 and their height are in the ratio of 5:3.Find the ratio of their volumes

Answer 1

Let radii be 2k and 3k 

and height be 5a and 3a

So, Ratio of Volumes = pi*(2k)^2*5a/pi*(3k)^2*3a
                                   = 20k^2*a/27k^2*a = 20/27 20:27

Answer 2

volume = pie r^2 h
pie 4×5/pie 9×3
=>20/27
=> 20:27