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AP Calculus BC/Unit 8: Applications of Integration
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Volume with Rectangular Cross Sections
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The region bounded by the graphs of $$y=x^2$$ and $$y=4$$ is the base of a solid. For this solid, cross sections perpendicular to the $$y$$-axis are rectangles whose height is twice the length of their base. What is the volume of the solid?

A

$$64$$

B

$$32$$

C

$$48$$

D

$$\displaystyle \frac{128}{3}$$

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