Charged Pole

A solid pole of radius \( 0.1 m\) and height \(3.0 m\) has charge density \[\rho = 100{e}^{-z} {\left({x}^{2}+{y}^{2} \right)}^{\frac{-1}{4}} \frac{C}{{m}^{3}}.\] What is the enclosed charge of the pole in Coulombs?

The base of the pole is set at zero.

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