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Math Help - Finding the right points...

  1. #1
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    Finding the right points...

    Volumes of solids of revolution:

    Volume = 750 u^3
    Distance between the two points = x and x+30 (they need to be 30 cm's apart)

    Formula: <br />
V = \pi \int (75/x)^2 dx<br />
    I have to find that x =15.5 and x+30 = 45.5.

    PS: there is slight error in the volume, it may be a little more, or less.

    Any help?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by iphysics View Post
    Volumes of solids of revolution:

    Volume = 750 u^3
    Distance between the two points = x and x+30 (they need to be 30 cm's apart)

    Formula: <br />
V = \pi \int (75/x)^2 dx<br />
    I have to find that x =15.5 and x+30 = 45.5.

    PS: there is slight error in the volume, it may be a little more, or less.

    Any help?
    This is confusing. I don't know what the "Volume" equation is meant to say.

    Are you asking for
    \pi \int_{15.5}^{45.5} \left ( \frac{75}{x} \right ) ^2 ~dx

    -Dan
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