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Homework Help: Gauss's Theorem problem

  1. Nov 26, 2005 #1
    Verify the divergence theorem by evaluating both the surface and the volume integrals for the region bounded by [tex]x^2+y^2=a^2[/tex] and [tex]z=h[/tex] for the vector field:

    [tex]\mathbf{F}=(x,y,z)[/tex]

    For the volume integral, it's easy. Since divF =3, it's just [tex]3\pi a^2h[/tex]. However, for the surface integral, I divided it into 3 parts. The top and bottom discs, and the side of the cylinder. It's the side that I'm having trouble with:

    [tex]F*N=\sqrt{x^2+y^2}[/tex], but how should the parameters vary?
     
  2. jcsd
  3. Nov 26, 2005 #2
    Nevermind, I got it.
     
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