How to find out boundaries of triple integrals ? How to switch paraboloid in equation into other coordinates. I've tried to switch into spherical coordinates, but it didn't help, since in the end i couldn't find theta boundaries. The integral is given below:

$$\iiint\limits_V \sqrt{x^2+y^2} \,\mathrm dx\,\mathrm dy \,\mathrm dz$$

$\bar V = \{ (x,y,z)\in \mathbb R : z\leq 5- x^2 -y^2, 2z \geq \sqrt {x^2 + y^2},y \geq0\}$

  • 2
    $\begingroup$ Those boundaries are made for cylindrical coordinates. $\endgroup$ – Brian M. Scott May 22 at 23:36
  • $\begingroup$ how would u implement those ? $\endgroup$ – paweta May 22 at 23:39
  • $\begingroup$ ok i got it, thanks for hint :) $\endgroup$ – paweta May 22 at 23:51
  • $\begingroup$ You’re welcome! $\endgroup$ – Brian M. Scott May 22 at 23:52

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