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The Area Bounded by the Curve x=4y2+40y96x=-4 y^{2}+40 y-96 And The yy

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The area bounded by the curve x=4y2+40y96x=-4 y^{2}+40 y-96 and the yy -axis is rotated around the yy -axis. Find the volume. Express your answer to three significant digits.

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