The region bounded by the parabola y = ax 2 and the horizontal line y = h

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The region bounded by the parabola y = ax2 and the horizontal line y = h is revolved about the y-axis to generate a solid bounded by a surface called a paraboloid (where a > 0 and h > 0). Show that the volume of the solid is 32 the volume of the cone with the same base and vertex.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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