Paraboloid Moment Conjecture Problem: A solid paraboloid is formed by rotating about the

Chapter 11, Problem C3

(choose chapter or problem)

Paraboloid Moment Conjecture Problem: A solid paraboloid is formed by rotating about the y-axis the region in Quadrant I under the graph of y = 9 x2. Show that the first moment of volume of the solid with respect to the plane of its base equals the second moment of volume of the solid with respect to its axis. Does this property hold in general for any solid paraboloid? Justify your answer.

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