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 May 4th, 2013, 09:13 AM #1 Newbie   Joined: May 2013 Posts: 1 Thanks: 0 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
 May 4th, 2013, 11:22 AM #2 Senior Member   Joined: May 2011 Posts: 501 Thanks: 6 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 $x^{2}+(y-5)^{2}=25$. $x^{2}=10y-y^{2}$ a disk y feet from the bottom of the tank has to be moved a distance $10-y$ feet. $\Delta F=weight = 9810(\pi x^{2}\Delta y) kg$ $\Delta W=\Delta F(10-y)$ integrate from 0 to 5

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# work done by a water pump

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