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Cylindrical Segment


The solid portion of a Cylinder below a cutting Plane which is oriented Parallel to the Cylinder's axis of symmetry. For a Cylinder of Radius $r$ and length $L$, the Volume of the cylindrical segment is given by multiplying the Area of a circular Segment of height $h$ by $L$,

V=Lr^2\cos^{-1}\left({r-h\over r}\right)-(r-h)L\sqrt{2rh-h^2}.

See also Cylindrical Wedge, Sector, Segment, Spherical Segment

© 1996-9 Eric W. Weisstein