Question

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

(a) 27 : 20 (b) 20 : 27 (c) 4 : 9 (d) 9 : 4

Answer 1

Let radii be 2r and 3r respectively
and height be 5h and 3h respectively

Volume ratio = $\frac{\pi \times (2r{)}^2\times 5h}{\pi \times (3r{)}^2\times 3h}=20:27$

(b) 20:27 is the correct option.