Question

The ratio of the height of any two cylinders is 5:3 as well as the ratio of their radii is 2:3 find the ratio of the volumes of the cyclinderical

Answer 1

Let radii of two cylinders be 2x and 3x units respectively
and heights of two cylinders be 5y and 3y units respectively
Therefore, Ratio of their volumes =
$\frac{\pi \times {(2x)}^{2} \times 5y }{\pi \times {(3x)}^{2} \times 3y } \\ = \frac{4 {x}^{2} \times 5y }{9 {x}^{2} \times 3y } \\ = \frac{20}{27}$
Therefore, Ratio of their volumes = 20:27