Calculating Energy Needed to Fill a 100ft Round Tank with Gasoline

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To calculate the energy needed to fill a 100-foot round tank with gasoline, one must consider the change in potential energy due to the weight of the gasoline, which is 40 lbs per cubic foot. The challenge lies in setting up the integral for the calculation, which can be complex for those without a physics background. A hint suggests that the problem can be solved without explicit integration by applying principles of physics. The discussion highlights the difficulties faced by a calculus student lacking physics knowledge. Overall, understanding the relationship between potential energy and the volume of the tank is crucial for solving this problem.
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This one has everyone stumped. Help ??!

Even went out to the college for help with this one. A round tak is 100 feet in diameter. It is to be filled with gasoline from the BOTTOM. The gasoline weighs 40 lbs per cubic foot. How much ENERGY in ergs will be required to fill the tank ?
 
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Sounds like Homework to me... Please show your attempted solution in order to get help.

Hint: Consider the change in potential energy
 
Not homework, but bonus question on a test that has been driving me up the wall. Will get the answer next week, but it's killing me. Thanks.
 
Well... what have you done so far?
 
Well, I tried to figure out how to set up the intergal, but that was a far as I got. If I could figure out how to set up my integral, I would be able to evaluate easily. I think my problem is that I'm a calc 2 student who hasn't had any physics, and that is why this is stumping me.
 
If you'd had some physics, you'd see that you can solve this without having to explicitly integrate. See the hint in post #2.
 
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