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| PAGE: 495 | SET: Exercises | PROBLEM: 37 |
Therom of Pappus :
Let 
be a region in a plane and and let 
be the same plane such that L does not intersect with the interior of 
.
If 
is the distance between centeriod and the line then the volume 
of the solid of the revolution formed by revolving about the line is 
.
The region is 
.
Radius of the circle 
.
Area of the circle is 
.
Volume of the solid of the revolution formed by revolving about the line is .
Where 
, distance between center of circle and 
-axis.
Area 
.
Now find the volume by substituting the values in the formula 
.
The torus formed by revolving the circle 
about the 
-axis is 
.
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