# position of the center of mass of a thin parabolical shell

Determine the position of the center of mass of a thin parabolical shell defined by z = a^2 - r^2 in cylindrical polar coordinates, glued to a flat bottom where z = 0, r < a of the same thickness.

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#### Solution Preview

First, we know that the center of mass lies on the z axis. All that remains ...

#### Solution Summary

The center of mass of a thin parabolic shell is figured. The cylindrical polar coordinates are used to determine the position of the center of mass of a thin parabolic shell.

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