Let the radus of the first cylinder = r₁

And the radus of the second cylinder = r₂;

Let the height of first cylinder = h₁

And the height of second cylinder = h₂

Given,

r₁ : r₂ = 2 : 3

r_1/r₂ = 23 ……………….. (i)

And

h₁ : h₂ = 5 : 3

h₁/h₂ = 5/3 ……… (ii)

Now,

The ratio of the volumes of the cylinders =

……… [Using (i) and (ii)]

= 20/27

= 20 : 27

So,

The ratio of the volumes of the given cylinders is 20 : 27