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Multivariable CalculusMediumTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Medium problem

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