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| PAGE: 367 | SET: Exercises | PROBLEM: 3 |
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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