Question

Two cylindrical jars have their diameters in the ratio 3 : 1, but their height is 1 : 3. Then ratio of their volumes is

• A. 1 : 3
• B. 3 : 1
• C. 2 : 5
• D. 1 : 4

Answer 1

The correct option is B 3 : 1

Required ratio $=\frac{\pi {\left(\frac{3}{2}\right)}^2.1}{\pi {\left(\frac{1}{2}\right)}^2.3}$
$=\frac{9}{4}\times \frac{4}{3}=\frac{3}{1}=3:1$