Question

A solid cylinder is melted and cast into a cone of same radius.The heights of the cone and cylinder are in the ratio

• A. 9:1
• B. 1:9
• C. 3:1
• D. 1:3

Answer 1

The correct option is C

3:1

Let r be the radius and h be the height of cylinder, then volume=$\pi r^{2}h$

Now volume of cone=$\pi r^{2}h$ and r is the radius.

$\therefore Height\left(h^{\prime }\right)=\frac{Volume\times 3}{\pi r^2}=\frac{\pi r^{2}h\times 3}{\pi r^2}=3h\therefore Ratiobetweentheirheights=3h:h=3:1$