Question: The solid is bounded below by the upper nappe of a cone and above by a sphere (see figure). Would it be easier to use
The solid is bounded below by the upper nappe of a cone and above by a sphere (see figure). Would it be easier to use cylindrical coordinates or spherical coordinates to find the volume of the solid? Explain.

Upper nappe of cone: |z = x + y y Sphere: x + y + z = 4
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