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Math Help - mass of integral in spherical coordinates

  1. #1
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    mass of integral in spherical coordinates

    I am suppose to find the mass of the solid region W given in spherical coordinates by

    roe greater or = to 0 and less than or = 3
    theta between 0 and 2 pi
    phi greater than or = 0 and less than or == pi/4
    The density is density(P) at any point P is given by the distance of P from the origin

    I know that I set up a triple integral and multiply my function by roe^2 sin(phi) but how do I express my density at any point????

    Thanks to all of you for all of your assistance this term! Frostking
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Frostking View Post
    I am suppose to find the mass of the solid region W given in spherical coordinates by

    roe greater or = to 0 and less than or = 3
    theta between 0 and 2 pi
    phi greater than or = 0 and less than or == pi/4
    The density is density(P) at any point P is given by the distance of P from the origin

    I know that I set up a triple integral and multiply my function by roe^2 sin(phi) but how do I express my density at any point????

    Thanks to all of you for all of your assistance this term! Frostking
    I believe the density function is just \delta\!\left(\rho,\phi,\theta\right)=\rho since \rho is the radial value (distance) of the point from the origin.
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  3. #3
    MHF Contributor

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    By the way, \rho is "rho", not "roe". "roe" is fish eggs!
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