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AP Calculus BC/Unit 8: Applications of Integration
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Volume with Square Cross Sections

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What is the volume of the solid whose base is the region bounded by the xx-axis and the graph of y=sin⁡(πx2)y = \sin\left(\frac{\pi x}{2}\right) for 0≤x≤10 \leq x \leq 1 and whose cross sections perpendicular to the xx-axis are squares?

A

14\displaystyle \frac{1}{4}

B

2π\displaystyle \frac{2}{\pi}

C

11

D

12\displaystyle \frac{1}{2}

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