The radii of two cylinders are in the ratio of 2: 3 and their heights are in the ratio of 5: 3. The ratio of their volume is

20:27

Volume of C₁ : Volume of C₂

πR²h : πr²H (π gets cancelled on both the sides)

R²h : r²H 

(2)²5 : (3)²3

(4)5 : (9)3

20 : 27

Thus, \(\frac{\text{Volume of }C_{1} }{\text{Volume of }C_{2} }\) = \(\frac{20 }{ 27}\)