October 25th, 2011, 09:04 PM  #1 
Senior Member Joined: Sep 2011 From: New York, NY Posts: 333 Thanks: 0  Work to pump out a tank The hemispherical tank shown is full of water. Given that water weighs , find the work required to pump the water out of the tank. My Attempt: The volume of a sample cross section is The mass of the cross section is The force need to lift this section is The work needed to lift this section is The do not give limits so I am assuming [a b] Integrating we have finally giving I don't know if this is correct? 
October 26th, 2011, 11:49 AM  #2 
Senior Member Joined: May 2011 Posts: 500 Thanks: 5  Re: Work to pump out a tank
For a circle of radius 5 with center (0,5), we have The force increment can be written as: The disc y feet from the bottom must be moved a distance of 5y feet. So, we have Another way to set it up: Both give the same result. 
October 27th, 2011, 06:15 AM  #3 
Senior Member Joined: Sep 2011 From: New York, NY Posts: 333 Thanks: 0  Re: Work to pump out a tank
Hey, Thx for the reply/help. Why did you set the center at (0,5)? 

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