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AP Calculus Honors Ms. Olifer

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Presentation on theme: "AP Calculus Honors Ms. Olifer"— Presentation transcript:

1 AP Calculus Honors Ms. Olifer
Volumes of Revolution AP Calculus Honors Ms. Olifer

2 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.

3

4 Volume of a Solid of Revolution: Disk Method

5 Example 1

6 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

7 Volume of the region between 2 curves

8 Example 2

9 Example 3

10 Solution

11 Solution (continued)


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