Problem:
Use polar coordinates to find the volume of the given solid.
Enclosed by the hyperboloid
$\displaystyle -x^{2} - y^{2} + z^{2} = 1$ and the plane $\displaystyle z=2$
My attempt:
I think I'm tripping up on the radius portion of this problem. I tried to solve the function for z and set the two bounds equal to find their intersection and therefore the radius. I substituted z for two while finding the radius, which is something I probably should not do. Any help would be great. Attached is an image of my attempt.
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