Spherical and Cylindrical Coordinates – On a cone – Exercise 4617

Exercise

Calculate the integral

\int\int\int_T z\sqrt{x^2+y^2} dxdydz

Where T is bounded by the surfaces

x^2+y^2\leq 2x, y\geq 0, z\geq 0, z\leq 3

Final Answer

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Solution

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