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General Prismatoid

A solid such that the Area $A_y$ of any section parallel to and a distance $y$ from a fixed Plane can be expressed as


The volume of such a solid is the same as for a Prismatoid,

V={\textstyle{1\over 6}} h(A_1+4M+A_2).

Examples include the Cone, Cylinder, Prismatoid, Sphere, and Spheroid.

See also Prismatoid, Prismoid


Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 132, 1987.

© 1996-9 Eric W. Weisstein