67e5ce…: “On the good raft”

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Set-up integrals in rectangular and cylindrical coordinates that will compute the volume of the a cone whose vertex is at the the point $(0,0,2)$ and whose base is a disk of radius $1$ lying in the plane $z=0$ :

$\int _{\answer {-1}}^{\answer {1}}\int _{\answer {-\sqrt {1-x^2}}}^{\answer {\sqrt {1-x^2}}}\int _{\answer {0}}^{\answer {2-2\sqrt {x^2+y^2}}}\d z \d y \d x$ $\int _{0}^{\answer {2\pi }}\int _{\answer {0}}^{\answer {1}}\int _{\answer {0}}^{\answer {2-2r}} r\d z \d r \d \theta$