Question

The base radii of two cylinders of same height are in the ratio 3:5. What is the ratio of their volumes?

• A. $\frac{3}{5}$
• B. $\frac{9}{25}$
• C. $\frac{16}{25}$
• D. $\frac{3}{25}$

Answer 1

The correct option is B

$\frac{9}{25}$

Let the height of both the cylinders be h and, radii be $\left(r_1\right)$ and $\left(r_2\right)$

Given: $\frac{r_1}{r_2}=\frac{3}{5}$

Now,$\frac{Volum{e}_1}{Volum{e}_2}=\frac{\pi r_1^{2}h}{\pi r_2^{2}h}=\frac{r_1^2}{r_2^2}$

$={\left(\frac{3}{5}\right)}^2=\frac{9}{25}$

Hence the ratio of their volumes = 9:25