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```        res. sir
i want ask , what general method is used to calculate either water level will rise or fall in the following cases:
1)an ice is floating in tub of water. after complete melting will water level rise or fall?
2)same as previous question but this time with a cork inside ice cube?
3)same as 1) but this time a lead ball inside ice cube?
4)_a person drink water from a pond in which he was floating on a boat, whether water level of pond will rise or fall?
i am really thankful for any sought of help provided by you
yours sincerely
AMANPREET```
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear aman,
Water expands when it freezes, so you might think that when it melts and  reduces in size, the water level will go down. Alternatively, because  part of the ice floats the water, you might think that when it melts,  the water level will rise.Neither is true, as explained by Archimedes principles.When  an ice cube (or an iceberg, which is a big ice cube) floats in water,  then by definition the weight of the ice cube is exactly equal to the  buoyancy force, which is equal to the weight of the displaced water.When  the ice cube melts, its volume changes, but its weight is conserved  (law of the conservation of mass).  So the melted water from the ice  cube has exactly the same weight as the water that was displaced by the  ice cube when it was frozen -- therefore the volume of melted water fits  exactly in the previously displaced volume -- and the water level stays  the same.Note that this argument applies only if the ice cube  is made of the same water as the water that it is floating in. This is  true, for example, with the Arctic ice pack, which is made of frozen sea  water.  However, it is not true for Antarctic icebergs, which are  blocks of fresh-water ice from the continent that are floating in  salt-water sea. In this case, we must take into account that the salt  water is denser than the fresh water. The fresh-water iceberg still  weighs as much as the weight of the displaced salt water, but because of  the difference in density, the volume of melted fresh water will be  slightly greater than the displaced volume of salt water -- so when the  iceberg melts, the water level will rise, although the difference is  very small.

All the best.
Win exciting gifts by answering the questions on Discussion Forum. So help discuss any                      query on askiitians forum and become an Elite Expert     League            askiitian.

Sagar Singh
B.Tech, IIT Delhi

```
7 years ago
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