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A vessel is in the for1n of an inverted ...

A vessel is in the for1n of an inverted cone. Its height is 8 cm and the radius of its Lop, which is open, is 5 cnt. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cn are dropped nto the vessel, one fourth of the water flows out. Find the number of lead shots dropped in the vessel.

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The correct Answer is:
Number of lead shots = 100 [Hint: Volume of cone = Volume of water in the cone, Volume of water flows out =1/4 Volume of cone =Volume of lead shots, Volume of spherical lead shot = `4/3pir^(3)`]
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