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

Use cylindrical coordinates to find the volume of the solid.

The solid is enclosed by the paraboloid z=x^{2}+y^{2}and the plane z=9

2. Relevant equations

z=r^{2}

3. The attempt at a solution

So I'm getting close to the answer but not quite, and I keep getting a negative which doesn't make sense. And I think my limit on the second integration needs to be a function of theta.

I chose z=9 as my z upper limit and z=r2 as my lower and just used rdzdrd(theta) as my integrand. Used 0 for lower limit for both dr and dtheta and started to use sqrt(9/2) as my upper limits for both dr and d(theta) but then changed d(theta's) upper limit to 2pi.

I need help lol.

BTW.. My notation on this is sloppy. I originally started with the z limits reversed but changed it once I integrated.. sorry.

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# Homework Help: Triple integral in cylindrical/spherical

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