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Multivariable CalculusMediumTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Medium problem

A solid of uniform density fills the region x2+y2≤z≤2\sqrt{x^2 + y^2} \le z \le 2 (an upside-down cone). Find the zz-coordinate zˉ\bar z of its centre of mass.