We have,
Ratio of radii of two cylinder = 2:3
Radius of cylinder 1 = r1
Radius of cylinder 2 = r2
r1/r2 = 2/3
Ratio of their heights = 5:3
Height of cylinder 1 = h1
Height of cylinder 2 = h2
h1/h2 = 5/3
Volume of cylinder 1 = v1
Volume of cylinder 2 = v2
v1 / v2 = πr12h1 / πr22h2
= 22 × 5 / 32 × 3
= 4×5 / 9×3
= 20/27
∴ Ratio of volumes of two cylinder is 20:27