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The Base of S Is the Parabolic Region {(x,y)x2y4}.\left\{(x, y) \mid x^{2} \leq y \leq 4\right\} .

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The base of S is the parabolic region {(x,y)x2y4}.\left\{(x, y) \mid x^{2} \leq y \leq 4\right\} . Cross-sections perpendicular to the y axis are squares.
Find the volume of S.

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