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Question
150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.
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Solution
Solution:
Given:-
Diameter of cylindrical vessel = 7 cm
Diameter of spherical marbles = 1.4 cm
Volume of a sphere = Volume of 150 spherical marbles, each of diameters 1.4 cm = volume of cylindrical vessel of diameter 7 cm displaced
Volume of a Sphere `=4/3 pir^3`
`150 xx4/3 pi(1.4/2)^3=pi(7/2)^2xxh`
`h=5.6 cm`
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