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semc

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**Volume generated[Solved]**

Use polar coordinates to find the volume of the given solid enclosed by the hyperboloid -x

^{2}-y

^{2}+z

^{2}=1 and the plane z=2.

I wrote out the integral [tex]\int\int 1+r^2 dr d\vartheta[/tex] integrated from 0 to [tex]2\pi[/tex] and r integrated from 0 to sqrt3 and volume enclosed gotten to be [tex]15\pi[/tex]/2. So this is the volume enclosed by the hyperboloid and the xy-plane correct? So I wanted to use the volume of the cyclinder to subtract off the volume found previously. But the volume is [tex]6\pi[/tex] so if I subtract i would get negative volume?

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