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, Volume## Explore 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