Volumes of solids of revolution - method of rings, Mathematics

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Volumes of Solids of Revolution / Method of Rings

In this section we will begin looking at the volume of solid of revolution. We have to first describe just what a solid of revolution is. To get a solid of revolution we begin with a function, y = f (x ) , on an interval [a,b].

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Then we rotate this curve around a given axis to get the surface of the solid of revolution.  For discussion let's rotate the curve around the x-axis, although it could be any vertical or horizontal axis.  Carrying out this for the curve above gives the given three dimensional region.

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