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## Volume of a Solid of Revolution |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z | overview |

The volume of the solid, which is generated by rotation of the graph , around the -axis, can be calculated with integration over circular planes:

Alternatively one can integrate over the nappes of cylinders.

where ( ) is the minimal (maximal) radius and is the height of the nappe of the cylinder with radius which is contained in the solid. This variant particularly makes sense for monotone functions of the radius.

**Annotation:**

- Beweis: Volumen von Rotationskörper (german)

automatically generated 4/ 8/2008 |