Question

A solid cylinder of height 4m is melted and recasted into a cone retaining the radius.The height of the cone is

• A. 4m
• B. 24m
• C. 12m
• D. 16m

Answer 1

The correct option is C

12m

As Cylinder is recasted into cone, their volumes must be equal.

$\frac{1}{3}$ $\pi$$r^2$ $h_{cone}$= $\pi$$r^2$ $h_{cyl}$

$h_{cone}$ = 3 x $h_{cyl}$ =12 m