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Mathematics 7 Online
OpenStudy (astrophysics):

Find the volume (triple integral)

OpenStudy (astrophysics):

Find the volume of the solid region that lies above the surface \[z = 1/2(x^2+y^2)\] and below the surface \[z = \sqrt{x^2+y^2}\] @ganeshie8

OpenStudy (astrophysics):

So it's a triple integral right, so z = 1/2(r^2), and z = r Setting z = z we get r = 2 so radius is [0, 2] theta [0, 2pi] z [1/2r^2, r] \[\large \int\limits_{0}^{2 \pi}\int\limits_{0}^{2} \int\limits_{1/2r^2}^{r} rdzdrd \theta\] this good?

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