Buoyancy
Example 1:

A large iceberg floating in sea water is of cubical shape and its specific gravity is 0.9 If 20 cm proportion of the iceberg is above the sea surface, determine the volume of the iceberg if specific gravity of sea water is 1.025.

Solution :
 

Let the side of the cubical iceberg be h.

Total volume of the iceberg = h 3

volume of the submerged portion is = ( h -20) x h 2

Now,
For flotation, weight of the iceberg = weight of the displaced water

                          

The side of the iceberg is 164 cm.

Thus the volume of the iceberg is 4.41m3

Answer: 4.41m 3

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