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Question

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.

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Solution

From question, Volume of cylinder = Volume of cone

πr2h=13πr2h

r2=(18)2(32)(3)24

r=36 cm

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