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Math Help - Wine Glass Project Calculus Stem

  1. #1
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    Wine Glass Project Calculus Stem

    I'm working on an equation for a wine glass that holds 150 ml. The actual equation I found for the cup is -20cos((pi/4)x) + 40, and the limits of integration I used to find the volume were 0 to 8.14818. Now, I am having trouble making an equation for a stem for this cup. The stem doesn't need to equal any volume, but it has to be a reasonable to the shape of the cup. Could someone please help me find an equation for the stem?
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  2. #2
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    Re: Wine Glass Project Calculus Stem

    You should use cylindrical coordinates to define the shape of the glass. It will probably make the integration easier.
    Just looking at wine glasses it looks like it takes the shape of an arch or a parabola, they are quite similar. For information on the equations for arches look at Catenary - Wikipedia, the free encyclopedia a parabola would be easier but this might impress someone looking at your project
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