Let 
be a nonnegative and continuous function on the closed
interval ![[a,b]](/images/equations/MethodofDisks/Inline2.svg)
,
then the solid of revolution obtained by rotating
the curve 
about the 
-axis
from 
to 
has volume
given by
![V=piint_a^b[f(x)]^2dx.](/images/equations/MethodofDisks/NumberedEquation1.svg) |
Method of Disks
See also
Method of Shells, 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 Disks." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MethodofDisks.html