Q. 134.8( 6 Votes )
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.
Answer :
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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