0ca58b…: “Because of a fine bird”

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Set-up integrals in rectangular and cylindrical coordinates that will compute the volume of the cylinder $x^2+y^2=1$ between $z=0$ and $z=5$ . $\int _{\answer {-1}}^{\answer {1}}\int _{\answer {-\sqrt {1-x^2}}}^{\answer {\sqrt {1-x^2}}}\int _{\answer {0}}^{\answer {5}}\d z \d y \d x$ $\int _{0}^{\answer {2\pi }}\int _{\answer {0}}^{\answer {1}}\int _{\answer {0}}^{\answer {5}} r\d z \d r \d \theta$