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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 $$y = \frac{1}{x}$$, $$y = 0$$, $$x = 1$$, and $$x = 2$$. If cross sections of the solid perpendicular to the $$x$$-axis are circles, what is the volume of the solid?

A

$$\displaystyle \frac{\pi}{12}$$

B

$$\displaystyle \frac{\pi}{4}$$

C

$$\displaystyle \frac{\pi}{8}$$

D

$$\displaystyle \frac{\pi}{6}$$

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