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Method of Disks


Let f be a nonnegative and continuous function on the closed interval [a,b], then the solid of revolution obtained by rotating the curve f(x) about the x-axis from x=a to x=b has volume given by

 V=piint_a^b[f(x)]^2dx.

See also

Method of Shells, Method of Washers, Solid of Revolution, Volume

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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 Disks." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MethodofDisks.html

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