bounded by the paraboloid z=4x^2+4y^2 and the plane z=a (a>0) if S has constant density K.

I just need someone to explain to me how to set up the integral using cylindral coordinates.

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- Nov 11th 2009, 11:49 AMdaskywalkerFind mass and center of mass of the solid S....
bounded by the paraboloid z=4x^2+4y^2 and the plane z=a (a>0) if S has constant density K.

I just need someone to explain to me how to set up the integral using cylindral coordinates. - Nov 11th 2009, 04:39 PMScott H
We first note that . To find using cylindrical coordinates, we let

Our paraboloid equation becomes

and the equation of intersection of the paraboloid with the plane becomes

Our integral becomes

where