Question

The ratio of radii of two cylinders is $1:\sqrt{3}$ and heights are in the ratio $2:3$. The ratio of volumes is

• A. $1:9$
• B. $2:9$
• C. $4:9$
• D. $5:9$

Answer 1

The correct option is B $2:9$

$\frac{V_1}{V_2}=\frac{\pi r_1^2{h}_1}{\pi r_2^2{h}_2}={\left(\frac{r_1}{r_2}\right)}^2\times \frac{h_1}{h_2}={\left(\frac{1}{\sqrt{3}}\right)}^2\times \frac{2}{3}=\frac{2}{9}=2:9$