(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use a triple integral to find the volume of the solid enclosed by the paraboloid [tex]x=y^2+z^2[/tex] and the plane [tex]x=16[/tex]

Note: The triple integral must be performed in Cartesian coordinates.

2. Relevant equations

3. The attempt at a solution

I calculated the answer numerically using Mathematica (see attached PDF). I've also included a 3D graph to help with visualization. I calculated the answer to be [tex]128\pi[/tex], but I have no idea how to set up the integral. I'm guessing the argument of the integral will simply be 1, but I don't know how to construct the bounds.

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# Triple Integral in Cartesian Coordinates

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