question_answer

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

A)  10 : 17                        

B)  20 : 27

C)         17 : 27            

D)         20 : 37

Correct Answer: B

Solution :

Let \[{{r}_{1}},{{r}_{2}}\]be the radius of the radius of two cylinders             \[\therefore \] \[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{2}{3}\] Let \[{{h}_{1}}\]and be height of two cylinders          Now, Required ration = 20 : 27