Question

If the density of ice is 0.9 g cm-3, what portion of an iceberg will remain below the surface of water in a sea? (Density of sea water = 1.1 g cm-3)

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Answer

Density of ice = 0.9 g cm-3

Density of sea water = 1.1 g cm-3

By the principle of floatation,

{Volume\ of\ immersed\ part\over Total\ volume} = {Density\ of\ ice\over Density\ of\ sea\ water}

{Volume\ of\ immersed\ part\over Total\ volume} = {0.9\over 1.1}= {9\over 11}= 0.818

Hence, the volume of icebergs that will remain below the surface of water in the sea = {9\over 11} th of total volume (or 0.818th) part.

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