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Q.

A metal ball of density 7800 kg/m3 is suspected to have a large number of inner cavities. It weighs 9.8 kg when weighed directly on a balance and 1.5 kg less when immersed in water. The fraction by volume of the cavities in the metal ball is approximately:

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a

20%

b

30%

c

16%

d

11%

answer is C.

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Detailed Solution

Volume of metal in ball = Mρmetal=9.87800=1.26×10-3m3 Total volume of ball =Thρwg=1.5g103×g=1.5×10-3m3Volume of cavity=1.5×10-3-1.25×10-3 =0.24×10-3m3Fraction of volume of cavity =0.24×10-31.5×10-3×100=16%

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A metal ball of density 7800 kg/m3 is suspected to have a large number of inner cavities. It weighs 9.8 kg when weighed directly on a balance and 1.5 kg less when immersed in water. The fraction by volume of the cavities in the metal ball is approximately: