The diagram shows the line y = 1 and part of the curve with equation y =

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The diagram shows the line y = 1 and part of the curve with equation y² = 4 − x.


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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