Physics
Fluid-Mechanics
Easy

Question

A steel block having an internal cavity weighs 234 g in air and 197 g in water. If the density of steel is 7 .8 g cm-3, then the volume of the cavity is

  1. 5 c m cubed
  2. 7 c m cubed
  3. 9 c m cubed
  4. 11 c m cubed

The correct answer is: 7 c m cubed


    Weight of water displaced by steel block
    = Loss of weight of block in water =(234-197) gf = 37 gf
    = Volume of water displaced equals 37 c m cubed
    Volume of block without cavity equals fraction numerator 234 over denominator 7.8 end fraction c m cubed equals 30 c m cubed
    Volume of cavity equals left parenthesis 37 minus 30 right parenthesis c m cubed equals 7 c m cubed

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