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The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.

$ y^2 - x^2 = 1 $ , $ y = 2 $ ; about the x-axis

$V=4 \sqrt{3} \pi$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

Missouri State University

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