A cylindrical bucket of height 32 cm and base radius 18 cm 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 24 cm, find the radius of the heap.
From question, Volume of cylinder = Volume of cone
∴πr2h=13πr2h
∴r2=(18)2(32)(3)24
∴r=36 cm