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Water level (Posted on 2003-03-10) Difficulty: 2 of 5
I’m sitting in a boat in a pool. In the boat with me is a cannonball. What happens to the level of the pool if I take the cannonball out of the boat and drop it into the pool? Does the level increase, decrease or stay the same?

  Submitted by fwaff    
Rating: 4.1333 (15 votes)
Solution: (Hide)
The level drops.

When the cannonball is in the water it is displacing a volume of water equivalent to the volume of the cannonball.

When the cannonball is in the boat the volume of water displaced is related to the mass of the cannonball. Since the cannonball has a greater density than the water, then the volume of water displaced is greater than the volume of the cannonball.

Therefore more water is displaced when the cannonball is in the boat than when it is in the water. For a more scientific answer (with formulae!) see friedlinguini's first posting.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle Thoughts K Sengupta2023-07-02 22:55:17
re(3): as long as...Thalamus2004-05-04 10:37:53
Some Thoughtsre(2): as long as...logischer Verstand2004-05-03 20:44:57
re: as long as...Thalamus2004-04-15 13:02:02
Solutionas long as...logischer Verstand2004-04-15 12:59:03
Some Thoughtsre(2): depends on the densityVinodhan Selvarajalu2003-05-10 22:48:58
re: depends on the densityChaz2003-05-03 09:31:18
No SubjectChaz2003-05-03 09:28:43
No SubjectJon2003-04-11 06:26:41
Solutionre(2): depends on the density--Another solutionCharlie2003-03-21 09:14:13
re: depends on the densityfwaff2003-03-21 05:56:29
depends on the densityHelen2003-03-21 05:00:03
re: SolutionMike Convente2003-03-12 12:57:56
SolutionMike Convente2003-03-12 12:57:14
re(2): Good puzzle!Bryan2003-03-11 05:17:10
re: Good puzzle!Ravi Raja2003-03-11 03:52:36
re: SolutionRavi Raja2003-03-11 03:49:00
SolutionSolution !!!!Ravi Raja2003-03-11 03:45:26
Good puzzle!Bryan2003-03-10 10:19:58
SolutionSolutionfriedlinguini2003-03-10 07:06:18
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