The diagram shows part of the curve and a point P(6, 5) lying on the curve. The

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The diagram shows part of the curve

and a point P(6, 5) lying on the curve. The line PQ intersects the x-axis at Q(8, 0).

i. Show that PQ is a normal to the curve.

ii. Find, showing all necessary working, the exact volume of revolution obtained when the shaded region is rotated through 360° about the x-axis.

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