A cylindrical bucket, 32 cm high and 18 cm of radius of the base, 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 and the slant height of the heap.
Let the radius of the heap be r and the slant height h,
So, we have
Height of the cylindrical bucket = 32cm
Radius of the base of cylindrical bucket = 18cm
Height of the conical heap = 24cm
Volume of cylinder = volume of cone
πr2h = 
r2 = 18 × 8 × 4
r = 18 × 2
r = 36cm
slant height l = 
l = 43.27cm
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