The diagram shows the line y = 1 and part of the curve i. Show that the

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

i. Show that the equation

can be written in the form

ii. Find


 

Hence find the area of the shaded region.
iii The shaded region is rotated through 360° about the y-axis. Find the exact value of the volume of
revolution obtained.

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