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A vessel is in the form of an inverted cone. Its height is 8 cm and radius of its top is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, 14 of the water flows out. Then the number of lead shots dropped into the water is 

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By Expert Faculty of Sri Chaitanya
a
100
b
90
c
80
d
70

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detailed solution

Correct option is A

n× volume of sphere  =14 volume of cone

n×43πr3=14.πR2H3

n×43.510.510.510=14.5.5.83

n=14.5.5.83.34.105.105.105

n=100

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