Determine the coordinates of the centroid of the shaded area shown. Also, determine the volume of metal that should be melted in order to cast the plate when the shaded figure is revolved about the y – axis. Compute for the surface area of the plate to estimate the amount of coating material required to prevent corrosion.

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.