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.