Use the theorem of Pappas to find the volume of the solid generated when the region enclosed by y = 3x² and y = 3(8 - x²) is revolved about the line y = -2.
Obtain the centroid by symmetry.

Question

Use the theorem of Pappas to find the volume of the solid generated when the region enclosed by y = 3x² and y = 3(8 - x²) is revolved about the line y = -2. Obtain the centroid by symmetry.

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Use the Theorem of Pappas to Find the Volume of the Solid