Concept explainers
In Example 2 what is the cross-sectional area function A(x) if cross sections perpendicular to the base are squares rather than semicircles?
Example 2 Volume of a “Parabolic Hemisphere”
A solid has a base that is bounded by the curves y = x2 and y = 2 – x2 in the xy-plane. Cross sections through the solid perpendicular to the base and parallel to the y-axis are semicircular disks. Find the volume of the solid.
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Calculus: Early Transcendentals (3rd Edition)
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