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AP Calculus AB/Unit 8: Applications of Integration
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Volume With Circular Cross Sections

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A solid has a base bounded by the graphs of y=1xy = \frac{1}{x}, y=0y = 0, x=1x = 1, and x=2x = 2. If cross sections of the solid perpendicular to the xx-axis are circles, what is the volume of the solid?

A

π8\displaystyle \frac{\pi}{8}

B

π12\displaystyle \frac{\pi}{12}

C

π4\displaystyle \frac{\pi}{4}

D

π6\displaystyle \frac{\pi}{6}

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