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Assuming the mass is evenly distributed around the cylinder's surface, you simply find the midway points between its three axes of symmetry. The midway point of the cylinder on the x-y plane is the center of the circle projected onto it and its midway point on the z-axis is half of the cylinder's height. Therefore, the center of mass of a hollow, evenly-distributed cylinder is at the center of the circle that divides the cylinder's height in two.

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Q: How center of mass of hollow cylinder is calculated?
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