1615b3…: “Close to a summer circle”

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Set-up integrals in rectangular and cylindrical coordinates that will compute the volume of the sphere of radius $3$ centered at the origin. $\int _{\answer {-3}}^{\answer {3}}\int _{\answer {-\sqrt {9-x^2}}}^{\answer {\sqrt {9-x^2}}}\int _{\answer {-\sqrt {9-x^2-y^2}}}^{\answer {\sqrt {9-x^2-y^2}}}\d z \d y \d x$ $\int _{0}^{\answer {2\pi }}\int _{\answer {0}}^{\answer {3}}\int _{\answer {-\sqrt {9-r^2}}}^{\answer {\sqrt {9-r^2}}} r\d z \d r \d \theta$