I'm having trouble figuring out this volume.(adsbygoogle = window.adsbygoogle || []).push({});

Use the cylindrical coordinates to find the volume of the solid S bounded by z=x^2 + y^2 and

z=12 - 2x^2 - 2y^2

I've included a pic of what I think the regions and the solid look like

http://img.photobucket.com/albums/v87/hbombblack/3dgraphcopy.jpg [Broken]

I think this is what the graph looks like. I would appreciate it if some one could show the steps of getting the volume, cause I'm kinda confused. I have an idea of what needs to be done, I just want to see if I'm on the right track before I get started.

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# Use the cylindrical coordinates to find the volume

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