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work done pumping water out of tank?

An upright cylindrical tank is 10 feet in diameter and 10 feet high. If water in the tank is 6 feet deep, how much work is done in pumping all the water over the top edge of the tank?

So I know the basics of how to work this problem, but the only examples I were given involved full tanks. Is there a difference in setting up the problem since the tank is only partially full?

1 Answer

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  • ?
    Lv 5
    1 decade ago
    Favorite Answer

    The method of solving the problem is still the same. All you need to do is change the limits of integration: instead of integrating from the bottom of the tank to the top, you have to integrate from the bottom to the height till which the water is filled.

    Hope this helps.

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