Q. 53.9( 311 Votes )

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 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

Answer :


 .................LEAD SHOTS EACH OF DIAMETER = 0.5 CM
When lead shots are dropped in the Vessel, the same amount of water will come out of the vessel as the Total Volume Of Lead Shots.
Height (h) of conical vessel = 8 cm

Radius (r1 ) of conical vessel = 5 cm

Radius (r2 ) of lead shots = 0.5 cm
Volume of water = Volume of Vessel 
Let n number of lead shots were dropped in the vessel

Volume of water spilled = Volume of dropped lead shots


Hence, the number of lead shots dropped in the vessel is 100.

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