Question

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

Answer 1

Let the radii of the two cylinders be 2r and 3r and their heights be 5h and 3h respectively.

Then, ratio of their volumes$=\frac{\mathrm{\pi }\times 4r^2\times 5h}{\mathrm{\pi }\times 9r^2\times 3h}$

$$\begin{gathered} =\frac{20}{27} \\ =20:27 \end{gathered}$$