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The arc of the parabola y = 4x2, where 0 The arc of the parabola y , where 0 a.' 5, revolves around the y-axis.

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The arc of the parabola y = 4x2, where 0

The arc of the parabola y , where 0 a.' 5, revolves around the y-axis. Find the volume of the resulting parabolic cup. Hint: integrate the cross-section of the cup in the form The volume is (Give your answer in exact form.) Check 100 A(y) dy.

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