Chapter 6 | Applications of Integration
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Example 6.7 Using the Slicing Method to find the Volume of a Solid of Revolution
Use the slicing method to find the volume of the solid of revolution bounded by the graphs of f ( x ) = x 2 −4 x +5, x =1, and x =4, and rotated about the x -axis.
Solution Using the problem-solving strategy, we first sketch the graph of the quadratic function over the interval [1, 4] as shown in the following figure.
Figure 6.16 A region used to produce a solid of revolution.
Next, revolve the region around the x -axis, as shown in the following figure.
Figure 6.17 Two views, (a) and (b), of the solid of revolution produced by revolving the region in Figure 6.16 about the x -axis.
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