TOPICS
Search

Method of Washers

Let f and g be nonnegative and continuous functions on the closed interval [a,b], then the solid of revolution obtained by rotating the curves f(x) and g(x) about the x-axis from x=a to x=b and taking the region enclosed between them has volume given by

V=piint_a^b{[f(x)]^2-[g(x)]^2]}dx.

See also

Method of Disks, Method of Shells, Solid of Revolution, Volume

Explore with Wolfram|Alpha

References

Anton, H. "Volumes by Cylindrical Shells." §6.3 in Calculus with Analytic Geometry, 2nd ed. New York: Wiley, pp. 367-373, 1984.

Cite this as:

Weisstein, Eric W. "Method of Washers." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MethodofWashers.html

Subject classifications