Find the volume of the solid bounded above by the paraboloid z = 16 - x^2 - y^2 and bounded below by x^2 + y^2 + z^2 =16. *note, set up the integral in rectangular, cylindrical, and spherical coordinates only. Do not evaluate the integral
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Originally Posted by boousaf Find the volume of the solid bounded above by the paraboloid z = 16 - x^2 - y^2 and bounded below by x^2 + y^2 + z^2 =16. *note, set up the integral in rectangular, cylindrical, and spherical coordinates only. Do not evaluate the integral Let's do some examining prior to setting up the integration. At , we see that both equations take on the form of This implies that our solid is bounded as so: In Rectangular: In Cylindrical: In Spherical: Hopefully, you can take it from here. --Chris
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