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 (*r _{1} *) of conical vessel = 5 cm

Radius (*r _{2} *) 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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