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