The diagram shows the curve meeting the x-axis at A and the y-axis at B. The y-coordinate

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The diagram shows the curve

meeting the x-axis at A and the y-axis at B.
The y-coordinate of the point C on the curve is 3.

i. Find the coordinates of B and C.
ii. Find the equation of the normal to the curve at C.
iii. Find the volume obtained when the shaded region is rotated through 360° about the y-axis.

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