Use Gauss’s theorem to find the volume of the solid region bounded by the paraboloids z=9−x^2−y^2 and z=3x^2+3y^2−16.

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Use Gauss’s theorem to find the volume of the solid region bounded by the paraboloids z=9−x^2−y^2 and z=3x^2+3y^2−16.

Mathematics
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Gauss is theorem is also Divegence theorem, I believe. Which says: Let E be a simple solid region and S is te boundry surface of E with the positive orientation. Let f be a fector field whose components have cintinuous first order partial deriv. Then: \[\int\limits \int\limits_{S }^{ } F • dS = \int\limits \int\limits_{E }^{ } \int\limits dive F dV\]
where F is a vector.
So, I think you want to start by getting the divergence of the vector field firest.

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How do I find the vector field, if all im given is equations for parabaloids?

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