Question

A cylindrical bucket of height $32cm$ and base radius $18cm$ is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is $24cm$, find the radius of the heap.

Answer 1

From question, Volume of cylinder $=$ Volume of cone

$\therefore \pi r^{2}h=\frac{1}{3}\pi r^{2}h$

$\therefore r^2=\frac{\left(18{)}^2\right(32\left)\right(3)}{24}$

$\therefore r=36$ cm