The diagram shows part of the curve that intercepts the y-axis at the point P. The shaded

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The diagram shows part of the curve

that intercepts the y-axis at the point P. The shaded region is bounded by the curve, the y-axis and the line y = 1.

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

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