The Shell Formula
Modeling Volumes Using Cylindrical Shells
Instead of adding volumes of thin cylinders like stacks of poker chips,
we add the volumes of thin cylindrical shells that grow outward from
the axis of revolution like the age rings of a tree.
Shell Formula for Revolution About a Vertical Line
The volume of the solid generated by revolving the region
between the x-axis and the graph of a continuous function
about a vertical line is
.See Example 1 - 3, pages 407 - 411.
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