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AP Calculus Honors Ms. Olifer
Volumes of Revolution AP Calculus Honors Ms. Olifer
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Volumes of Revolution A solid of revolution is a solid obtained by rotating a region in the plane about an axis. For example, the right circular cone and the sphere are solids of revolution.
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Volume of a Solid of Revolution: Disk Method
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Example 1
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Volume of the region between 2 curves
The cross section is a washer of outer radius R = f(x) and inner radius r=g(x). The area of this washer is
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Volume of the region between 2 curves
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Example 2
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Example 3
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Solution
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Solution (continued)
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