In math/calculus classes, a problem frequently posed asks how much work (J) is required to pump water out of the top of differently shaped water tanks.
If you are unsure of what I am referring to, here are some example problems:
- Emptying water out of a Conical Tank? (Calculus)?
- Work required to pump water out of tank in the shape of a paraboloid of revolution
- Example 9.5.4 in https://www.whitman.edu/mathematics/calculus_online/section09.05.html
Is it ever actually feasible to pump water out of the top of a tank, as is modeled by the solutions to these problems? Does some sort of pump actually exist that is able to pull water from its surface in a tank, ever?
This might be a question better suited for engineering forums, but I'm unsure. I'm writing a mathematics paper and am currently struggling to find the real-world application of pumping water out of the top of a tank. And really hoping that there is one.