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A vessel is in the form of an inverted c...

A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius of its top is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5cm are dropped into the vessel, `1/4` of the water flows out. Find the number of lead shots dropped into the vessel.

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100
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