Module 8 : Applications of Integration - II
Lecture 24 : Volume of solids of revolution by Shell method [Section 24.2]
(ii)
Let be the region in the first quadrant above the curve and below the curve .
 
 

Then, the volume of the solid obtained by revolving about the -axis, by the Shell Method, is given by
              

(iii)
Consider the solid obtained revolving the region bounded by the functions
 

             

 
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