Question

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

• A. 20 : 27
• B. 20:37
• C. 10 : 17
• D. 17 : 27

Answer 1

The correct option is A 20 : 27

$\frac{r_1}{r_2}=\frac{2}{3}$
$\frac{h_1}{h_2}=\frac{5}{3}$
$\frac{v_1}{v_2}=\frac{\pi r_1^{2}h}{\pi r_2^{2}h}=\frac{2^2\ast 5}{3^2\ast 3}=\frac{20}{27}$