The diagram shows the curve and the line x + 2y = 4 that intersect at the

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The diagram shows the curve

and the line x + 2y = 4 that intersect at the points (4, 0) and (0, 2).

a. Find the volume obtained when the shaded region is rotated through 360° about the x-axis.
b. Find the volume obtained when the shaded region is rotated through 360° about the y-axis.

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