Problem 10-30.

Let the total volume of the iceberg be V and the volume of the iceberg under water be V'.

Mass of iceberg = Density of ice Volume of ice

= 0.917 1000 V

= 917V

Mass of sea water displaced = Density of sea water Volume of sea water displaced

= 1.025 1000 V'

= 1025V

Since the iceberg is floating on the sea water,

Mass of iceberg = Mass of sea water displaced (Archimedes' principle)

917V=1025V'

Fraction of iceberg under water = = = 0.894

Fraction of iceberg above water = 1- 0.894 = 0.106 = 10.6%