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Volume of water in a pipe

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  • Volume of water in a pipe

    Could someone please help me with this question:
    How many gallons of water are in a 6 inch pipe, that has 2 inches of water in the bottom of the pipe. The pipe is 500 feet long.
    Thanks

  • #2
    Re: Volume of water in a pipe

    Try this page here:
    http://www.onlineconversion.com/obje...nk_partial.htm

    You will have to convert all the base units to the same, such as feet.
    6 inches = 0.5 feet
    2 inches = 0.1667 feet

    The volume is returned in cubic feet, which you have to convert to gallons.
    28.6 cubic feet

    28.6 cubic foot = 213.942 857 14 gallon [US, liquid]

    So about 214 gallons

    Comment


    • #3
      Re: Volume of water in a pipe

      Thanks for your response, but I can,t figure out how you came up with the 28.6 cubic feet.

      Comment


      • #4
        Re: Volume of water in a pipe

        Its a bit complex, which makes it much more suited for a computer script to calculate, but its like this:
        if h < r
        volume = (lrČ / 2) * (2 * acos((r - h)/r) - sin(2 * acos((r - h)/r)))

        if h = r
        volume = (PI * lrČ) / 2;

        if h > r
        volume = PI * lrČ - (lrČ/ 2) * (2 * acos(((r - (2r - h))/r)) -sin(2 * acos(((r - (2r - h))/r))))

        if h = d
        volume = PI * lrČ;

        where l = length, r = radius, h = height, d = diameter

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