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Time to run out water (Posted on 2006-07-13) Difficulty: 3 of 5
Consider a solid sphere (capable of withstanding full vacuum) of 3m diameter filled completely with water resting at sea level. It has a 10cm hole at the bottom with a cork on it. If you open the cork, what is the time taken for water to completely drain out.

What happens for higher diameter spheres?

No Solution Yet Submitted by Salil    
Rating: 1.2500 (4 votes)

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re(2): solution (maybe) (my bad) | Comment 7 of 11 |
(In reply to re: solution (maybe) by Alexis)

Yes, I see now where my mistake was in the equation for the volume of the sphere at height H, it should be

V(h)=Pi*(3*r-h)*h/3  where r is radius of the sphere  don't have time now to figure how that changes all the other calculations, but I doubt it would lead to a correct answer anyway considering the posts that have been made thus far.  I'm more of a mathematician than a physicist

  Posted by Daniel on 2006-07-14 06:03:37

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