The curve equation is , lines are and and the region is rotated about -axis.
Method of Cylinders :
The volume of the solid obtained by rotating about -axis, the region of the curve from to is
.
Hence the curve is .
Find the point of intersections.
Find the value of for .
.
Find the volume obtained by rotating region about -axis, bounded by the curve and from to is
Volume obtained by rotating region about -axis is .
Volume obtained by rotating region about -axis is .
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