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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: solution (maybe) - one noted difficulty | Comment 4 of 11 |
(In reply to solution (maybe) by Daniel)

Be the contents of this sphere a quality 'red' or rounded 'white', I'd not taste a drop in 30 secs!!!

Daniel, my calculus is as rusty as my grey matter (though it could be said that I am becoming blonder by the day), but I have to question your formula for the volume of a sphere; that is one first place where you might look.

Vol of Sphere = 4/3 * Pi * r^3.

Another question, you mention the derivative for the average (-av) rate of flow, but should you not have defining equation equation against which you 'compute' this derivative?  If you've done this, then the Volume problem might have further compounded throughout your calculations.

Sorry I can't help further.

  Posted by brianjn on 2006-07-14 03:29:22

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