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Math Help - Triple integral Conversion (Cylindrical, Rectangular, Spherical)

  1. #1
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    Triple integral Conversion (Cylindrical, Rectangular, Spherical)



    Sorry for the bad drawing.
    So I am supposed to find an equivalent integral in spherical coordinates,
    rectangular coordinates and then evaluate the integral.

    I know im supposed to use the rules z = rho cos phi
    r = rho sin phi

    for spherical, but do I just substitute it in? And what do I change the range of the integrals to.

    And for rectangular I know I use x = r cos theta
    y = r sin theta
    z = z
    But also I am not suer what to change the ranges to.
    And then from there I'll have to evaluate the integral.

    Please Help!!~ A similar problem, or some work would be great in helping me solve this.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by numberonenacho View Post


    Sorry for the bad drawing.
    So I am supposed to find an equivalent integral in spherical coordinates,
    rectangular coordinates and then evaluate the integral.

    I know im supposed to use the rules z = rho cos phi
    r = rho sin phi

    for spherical, but do I just substitute it in? And what do I change the range of the integrals to.

    And for rectangular I know I use x = r cos theta
    y = r sin theta
    z = z
    But also I am not suer what to change the ranges to.
    And then from there I'll have to evaluate the integral.

    Please Help!!~ A similar problem, or some work would be great in helping me solve this.
    you already asked this here

    Please do not double post. it's against the rules
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