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A cylindrical bucket, 32 cm high and with radius of base 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 and slant height of the heap.

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Solution: Radius of cylinder = 18 cm, height = 32 cm

Height of cone = 24 cm

Volume of cylinder

10 surface area volume exercise solution

Volume of cone = Volume of cylinder

Volume of cone

10 surface area volume exercise solution

Hence, radius of cone can be calculated as follows:

10 surface area volume exercise solution

Now, slant height of conical heap can be calculated as follows:

10 surface area volume exercise solution

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