Let 
be a plane region bounded above by a continuous curve 
, below by the 
-axis, and on the left and right by 
and 
, then the volume of the solid
of revolution obtained by rotating 
about the 
-axis is given by
 |
Method of Shells
See also
Method of Disks, Method of Washers, Solid of Revolution, VolumeExplore with Wolfram|Alpha
References
Anton, H. "Volumes by Slicing; Disks and Washers." §6.2 in Calculus with Analytic Geometry, 2nd ed. New York: Wiley, pp. 359-367, 1984.Cite this as:
Weisstein, Eric W. "Method of Shells." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MethodofShells.html