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

The volume of a cylinder is: $V = \pi r^2 h$

Given:

• Radii ratio = 2:3
• Heights ratio = 5:3

So, the ratio of their volumes is:

$(2^2 \times 5) : (3^2 \times 3)$

$= (4 \times 5) : (9 \times 3)$

$= 20 : 27$