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Q.

An iron casting has a large cavity in it. If weighs 6000 N in air and 4000 N in water. If density of iron is 8 gm/cm3 and density of water is 1 gm/cm3, find the volume of cavity in the casting.

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a

0.025 m3

b

0.125 m3

c

0.05 m3

d

0.225 m3

answer is B.

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Detailed Solution

B = Buoyant force = (6000 - 4000) N = 2000 N∴ Volume of casting =20001000×10n3=0.2 m3Volume of iron in the casting =60008000×10n3=0.075 m3∴ Volume of cavity =(0.2−0.075)m3=0.125 m3
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