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

The solid enclosed by the paraboloid x=y^{2}+z^{2}and the plane x=16.

2. Relevant equations

Triple integral in ractangular coordinates

3. The attempt at a solution

I figured out this is a paraboloid that circles the x axis, that starts at the origin and it gets wider and wider as it goes in the x direction until it is stopped by the plane x=16 where there is a circle around the x axis with a radius of

[tex]\int_{x=y^{2}+z^{2}}^{16}\int_{z=-\sqrt{16-y^{2}}}^{\sqrt{16-y^{2}}}\int_{z=0}^4 dxdzdy [/tex]

I was just curious if my set up looks right.

Thank you.

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# Homework Help: Paraboloid problem help

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