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Question

A piece of copper having an internal cavity weighs 261 g in air and 221 g in water. If density of copper is 9 g cc1 then the volume of cavity is

A
5 cc
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B
10 cc
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C
11 cc
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D
22 cc
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Solution

The correct option is B 11 cc
Let the total volume be V and volume of cavity be v,
So net material volume is Vv , ρ=9cc1
Let the density be ρ=massnetvolume=261Vv
9=261Vv
Vv=29cc ....(1)
Now the buoyancy force on cylinder is F=261g221g=40g
So F=40g=ρwaterVg
40g=1×Vg
V=40cc
From equation 1,
v=4029=11cc

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