The location of the volume's center of gravity by rotating the shaded region around the z axis. The substance is homogeneous. Z=2.50 feet for ZoverBar.
A body's geometric center is known as the centroid of volume. If the body's density is constant throughout, the centroid of volume serves as both the center of mass and the center of gravity. The ratios of integrals over the volume of the body are used to define the centroid of volume.
The center of mass is the same as the centroid of the volume if a continuous mass distribution has uniform density, which implies that is constant.
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