The region bounded above by and below by on is revolved about the line

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The region bounded above by y=4y = 4 and below by y=x2y = x^{2} on 0≤x≤20 \le x \le 2 is revolved about the line y=1y = 1. At what value of xx in [0,2][0,2] do the outer and inner radii of the washers interchange?

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