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Washer method: revolving around x- or y-axis

AP.CALC: CHA‑5 (EU), CHA‑5.C (LO), CHA‑5.C.3 (EK)


Region R is enclosed by the curves y, equals, x, squared and y, equals, 4, x, minus, x, squared.
What is the volume of the solid generated when R is rotated about the x-axis?
Give an exact answer in terms of pi.