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Multivariable CalculusMediumTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Medium problem

Let EE be the solid bounded above by the paraboloid z=4−x2−y2z = 4 - x^2 - y^2 and below by the plane z=0z = 0. Evaluate ∭Ez dV\displaystyle\iiint_E z\,dV. Give your answer in terms of π\pi.