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Question
Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi = 0.917 g cm–3?
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Solution
Given, density of ice (ρice) = 0.917 g/cm3
Density of water (ρw) = 1 g/cm3
Let V be the total volume of the iceberg and V’ of its volume be submerged in water. In floating condition.
Weight of the iceberg = Weight of the water displaced by the submerged part of the ice
`Vρ_(ice) g = V^'ρ_w g`
or `V^'/V = ρ_(ice)/ρ_w = 0.917/1` = 0.917 .....(∵ Weight = mg = vρg)
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