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Answer in Brief

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`

Concept: Surface Area of a Combination of Solids

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