Question

An iceberg is a chunk of freshwater ice that has broken off from an ice cap, 

such as those that cover Greenland and Antarctica, or from a glacier at the 

edge of the sea. (More than three-quarters of the world’s fresh water is in the 

form of ice). Find the proportion of the volume of an iceberg that is 

submerged. Note: use the corresponding densities for ice and water

Answer 1

Lets say V is the total volume of the iceberg, and x be the volume of submerged part of iceberg. then according to Archimedes principle, we have weight of the iceberg is equal to the weight of the water displaced

$$0.92Vg=1.03xg\\x=0.8932V$$

so, the proportion of the volume of an iceberg that is 

submerged 0.8932.