Volume of a Cylinder Using Cylindrical Coordinates and Triple Integration

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Calculate the Volume $V$ of a right circular cylinder of radius $a$ and height $h$, using cylindrical coordinates and triple integration.

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1 Answer

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Regarding to @Ted's comment, here is a hint. Please consider it and reflect. This is a very basic problem but can lead you to have more insights using other coordinates than Cartesian ones.

Hint$$V=\int_{\theta=0}^{2\pi}\int_{r=0}^a\int_{z=0}^hr drd\theta dz$$

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