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 P_i = 0.917 g cm^-3?

Answer 1

Let the volume of iceberg be V_i and volume of water displaced by iceberg be V_w in floating condition.

Weight of iceberg = Weight of water displaced by submerged ice.

ρ_wV_w = ρ_iV_ig                 [∴ W = mg = Vρg]

\(\frac{V_w}{V_i}=\frac{ρ_i}{ρ_w}=\frac{0.917}{1}=0.917.\)