The phrase, \"It\'s only the tip of the iceberg\", comes from the fact that a ma

Question

The phrase, "It's only the tip of the iceberg", comes from the fact that a majority of the volume of the iceberg is below the surface of the water. If the density of ice is 0.92g/cm^3 and the density of seawater is 1.03g/cm^3, determine the ratio of the volume of the iceberg below the water surface to the volume above to the correct number of significant figures (=V below/ V above). Assume that the iceberg is in equilibrium. Hint: the volume of the water displaced is equal to the volume of the submerged portion of the iceberg.

Explanation / Answer

Let,

V(ice) = the total volume of the iceberg

Vwater = the volume of the water displaced – This will be equal to the volume of the iceberg submerged

Vwater/ V(ice) = p(ice) / p(water) = 920 kg/m3/1030 kg/m3 = 0.89

Therefore, V(above) = 1-0.89 = 0.11

Therefore, V(below)/V(above) = 0.89/0.11 = 8.09 ans

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