SOLUTION: A cylindrical tin has an internal diameter of 18 cm. It contains water to a height of 13.2 cm. How far will the water level rise when a heavy ball 9.3 cm in diameter is immersed in

Question 40807: A cylindrical tin has an internal diameter of 18 cm. It contains water to a height of 13.2 cm. How far will the water level rise when a heavy ball 9.3 cm in diameter is immersed in it ?
Answer by astromathman(21) (Show Source): You can put this solution on YOUR website!
First, note that it is clear that the ball will be completely submerged. If this were not so, we would have to be more careful. Since it IS so, the ball simply pushes up an equal volume of water, so we can add the volume of the ball to the volume of the water as though it were all water.
and
Using these, the ball has volume and the volume of the water in the can is for a total of . Setting and solving for h yields .
(Answers will vary slightly depending on whether you use your calculator's version of or type in 3.14.)
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