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Math Help - Differential Equation regarding the change in volume wrt time?

  1. #1
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    Differential Equation regarding the change in volume wrt time?

    The question is to investigate how much water fills up a cylindrical container in 3hours(investigate the change in volume wrt time).How do I write this differential equation?. Also, please suggest me how do I solve this scenario with Euler's numerical method approach. Thank you.
    Details:

    Diameter : 2inch
    Length : 4inch

    Time to fill the cylindrical pipe : 3 hours
    Last edited by hus2020; February 9th 2009 at 09:35 PM.
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  2. #2
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    Quote Originally Posted by hus2020 View Post
    The question is to investigate how much water fills up a cylindrical container in 3hours(investigate the change in volume wrt time).How do I write this differential equation?. Also, please suggest me how do I solve this scenario with Euler's numerical method approach. Thank you.
    Details:

    Diameter : 2inch
    Length : 4inch
    Hello. Do you have any additional information? Is there both an inflow and an outflow?
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  3. #3
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    Basically, I want to investigate the inflow only. It works like this: when the water volume is large enough, the cylindrical pipe will rotate and the water will be poured into the aquarium. Then, the cylinder will be filled again.
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