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AP Calculus AB/Unit 8: Applications of Integration
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Volume of a Solid with Square Cross Sections

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The base of a solid is the region enclosed by the $$x$$-axis and the graph of $$y = \sqrt{x}$$ for $$0 \leq x \leq 4$$. If the cross sections of the solid perpendicular to the $$x$$-axis are squares, what is the volume of the solid?

A

$$4$$

B

$$8$$

C

$$\displaystyle \frac{32}{3}$$

D

$$6$$

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