Question

The ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5 : 3. The ratio of their volumes will be 

A. 4 : 9 

B. 9 : 4 

C. 20 : 27 

D. 27 : 20

Answer 1

Given that,

\(\frac{r1}{r2}=\frac{2}{3}\)

Also,

\(\frac{h1}{h2}=\frac{5}{3}\)

We know that,

Volume of cylinder = \(\pi r^2h\)

Therefore,

\(\frac{V1}{V2}=\frac{\pi r1^2h}{\pi r2^2h}\)

= \(\frac{20}{27}\)

Therefore, the volume of given two cylinders will be in the ration 20: 27 

Hence, option C is correct