Q.

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 

Moderate

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a

100

b

90

c

80

d

70

answer is A.

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Detailed Solution

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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