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AP Calculus BC/Unit 8: Applications of Integration
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Volume by Cylindrical Shells

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What is the volume of the solid generated by rotating the region enclosed by the graphs of x=yx = \sqrt{y}, x=2−y2x = 2 - y^2, and the y-axis about the x-axis?

A

2π2\pi

B

8π3\frac{8\pi}{3}

C

13π10\frac{13\pi}{10}

D

2π3\frac{2\pi}{3}

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