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OpenStudy (anonymous):
The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x^2. Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic units, of the solid?
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OpenStudy (anonymous):
@Michele_Laino
OpenStudy (michele_laino):
please wait a moment
OpenStudy (anonymous):
Plot of the region: |dw:1429484125699:dw| Let's rotate the plane a bit to make it easier to visualize a cross-section: |dw:1429484231513:dw|
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