$\iiint_B \ z dxdydz$ where B is a region within cylinder $x^2+y^2 = 1$ above $xy$ plane and below cone $z=\sqrt{(x^2+y^2)}$
2025-01-14 11:44:27.1736855067
Setting up integral with cylindrical coordinates
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The integral in the cylindrical coordinates is
$$\int_0^{2\pi}\int_0^1\int_0^r zr dz dr d\theta=\frac\pi4$$