Question

Two cones have their heights in the ratio $1:3$ and their radii in the ratio $3:1$. Find the ratio of their volumes.

• A. 2:1
• B. 9:1
• C. 3:1
• D. 1:1

Answer 1

Answer: (C)

Given:

$h_1:h_2=1:3$

$r_1:r_2=3:1$

$\frac{V_1}{V_2}=\frac{\left(\frac{1}{3}\right)\pi r_1^2{h}_1}{\left(\frac{1}{3}\right)\pi r_2^2{h}_2}={\left(\frac{3}{1}\right)}^2.\frac{1}{3}=\frac{3}{1}$

Hence, option C is correct.