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May 4th, 2013, 09:13 AM   #1
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Work done pumping water out of a spherical tank

Hi everyone, if someone could explain how to do this problem I would be so grateful!

Find the work done in pumping all the water out of a container which is
a round sphere of radius 5 m and which is half full (i.e. the water has to be lifted
to the top of the sphere before it can be removed). Assume:
g ? 10m/sec^2
and ? = 1000 kg/m3
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May 4th, 2013, 11:22 AM   #2
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Re: Work done pumping water out of a spherical tank

Here's a start:

For a circle of radius 5 and center (0,5) we have .



a disk y feet from the bottom of the tank has to be moved a distance feet.





integrate from 0 to 5
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