Question

An iceberg is floating in ocean. What fraction of its volume is above the water?
(Given: density of ice $=900kg/m^3$ and density of ocean water $=1030kg/m^3$

• A. 90/103
• B. 13/103
• C. 10/103
• D. 1/103

Answer 1

The correct option is B 13/103

Answer is B.
The displaced water should provide the buoyancy force that equals the weight of the iceberg: $icebergvolume\times 900kg/m^3\times g=displacedvolume\times 1030kg/m^{3}g$.
Therefore, Displaced volume/iceberg volume = 900/1030 = 90/103.
Hence, 90/103 of the volume is under water and 13/103 of the volume is above the water.