**Question:**

**An iceberg floats in water with part of it submerged. What is the fraction of the volume of an iceberg submerged if the density of ice is ρi = 0.917 g/cm3?**

**Solution:**

Density of ice, ρice = 0.917 g/cm3

Density of water, ρwater = 1 g/cm3

Vi is the volume of the iceberg

Vw is the volume of the water displaced by the iceberg

Weight of iceberg, W = ρiVig

Upthrust, FB = ρwVwg

At equilibrium, weight of iceberg = Vw/Vi = 0.917