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Computing integral over a sphere

  1. Nov 2, 2013 #1
    1. The problem statement, all variables and given/known data
    Computer the integral of f(x,y,z) = x^2+y^2 over the sphere S of radius 4 centered at the origin.


    3. The attempt at a solution
    so if the parameters for a sphere are in terms of (p,θ,∅)
    ,
    triple integral (p^2((psin∅cosθ)^2+(psin∅sinθ)^2))dpdθd∅)

    where the boundaries on dp is 0 to 4, and then dθ and d∅ are both 0 to 2∏

    am I on the correct track here?
     
  2. jcsd
  3. Nov 2, 2013 #2

    LCKurtz

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    Your question doesn't make clear whether you are asked to do a surface integral over the surface of the sphere or a volume integral over the solid sphere. In either case, you wouldn't integrate both ##\phi## and ##\theta## from ##0## to ##2\pi##. Also, your volume element is incorrect.
     
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