APFIVE Volume With Circular Cross Sections
The base of a solid is the region bounded by the graphs of $$y = \frac{1}{x}$$, $$y = 0$$, $$x = 1$$, and $$x = 2$$. For the solid, each cross section perpendicular to the $$x$$-axis is a circle. What is the volume of the solid?
A
$$\displaystyle \frac{\pi}{4}$$
B
$$\displaystyle \frac{\pi}{6}$$
C
$$\displaystyle \frac{\pi}{8}$$
D
$$\displaystyle \frac{\pi}{12}$$
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