Question

If the height of a cone is doubled and radius of the base remains the same, then the ratio of the volume of the given cone to that of the second cone will be:

• A. 1:2
• B. 2:1
• C. 1:8
• D. 8:1
• E. 1:3

Answer 1

The correct option is A

1:2

Required ratio = $\frac{\frac{1}{3}\pi r^{2}h}{\frac{1}{3}\pi r^2\times \left(2h\right)}=\frac{1}{2}=1:2$