Question

An iceberg floats in fresh water with a part of it outside the water surface. Find the fraction of the volume of the iceberg which is below the water surface.
Take density of ice = 917 kg m–3 and density of fresh water = 1000 kg m–3

Answer 1

Over 90% of an icebergs volume(and mass) is underwater. As you can see, the convenient definition of the gram gives us a quick way to see how much of a floating substance lies below the surface of freshwater. The fraction is equal to that Substance's mass density in g/cm3

Answer 2

91.7% of the iceberg is immersed in water.

Explanation:

The density of ice, ρi = 917 kg/m3

The density of water, ρw = 1000 kg/m3

Let x be the volume of the iceberg immersed in water.

Weight of the immersed iceberg = weight of the water displaced

ρiVg = ρwxVg  ⇒ ρi = ρwx  ⇒ x = ρiρw = 9171000

9171000V  volume of the iceberg is inside the water.

So 91.7% of the iceberg is immersed in water.