It is filled with water up to the brim. 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 in the vessel.

 

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Explanation:
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.

Surface Areas and Volumes

Height  of conical vessel
Radius  of conical vessel
Radius  of lead shots
Volume of water  Volume of Vessel.
Let  number of lead shots were dropped in the vessel.
Volume of water spilled  Volume of dropped lead shots
Volume of Vessel,


Volume of Water Spilled,


Volume of Lead Shots,


Volume of Lead Shots  Volume of Water Spilled




Final Answer:
Hence, the number of lead shots dropped in the vessel is .

 

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