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Mathematics Surface Areas and Volumes

A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is…

A vessel is in the form of an inverted cone. Its height is cm and the radius of its top, which is open, is cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

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