The region R in the first quadrant bounded by the parabola y = 4 - x 2

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The region R in the first quadrant bounded by the parabola y = 4 - x2 and the coordinate axes is revolved about the y-axis to produce a dome-shaped solid. Find the volume of the solid in the following ways.

a. Apply the disk method and integrate with respect to y.

b. Apply the shell method and integrate with respect to x.

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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