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, what is the slant height of the heap?

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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, what is the slant height of the heap?

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43.26 cm

44.0 cm

48.3 cm

40.4 cm

answer is A.

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Detailed Solution

Given that a cylindrical bucket filled with sand when emptying it on the ground that formed a conical heap of sand.
The volume of a cone of radius r and height h is,