2026-03-24 23:49:52.1774396192
Find volume of region that lies under sphere x^2+y^2+z^2=4, above the plane z=0 using polar coordinates!
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HINT
We are dealing with a triple integral in the following form
$$\iiint_VdV=\int_0^2 dz \int_0^{2\pi} d\theta \int_0^{\sqrt{4-z^2}} rdr$$
Can you justify this set up?