Question

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

• A. 27 : 20
• B. 20 : 27
• C. 9 : 4
• D. 4 : 9

Answer 1

Answer:

B. 20 : 27

Let the radii of two cylinders are r1 , r2 and length of the cylinders are h1 , h2 respectively.

According to the question,

$\frac{r_1}{r_2}=\frac{2}{3}$

and $\frac{h_1}{h_2}=\frac{5}{3}$

Ratio of their volume $=\pi{r^2_1}h_1:\pi{r^2_2}h_2$

$=r^2_1h_1:r^2_2h_2$

$=(2)^2\times{5}:(3)^2\times{3}$

$=20:27$