Topic 41 = Stewart 6.2 Volumes of Revolution, Washer Method

AP Classroom Videos: 8.11 (Volumes of Revolution, Washer Method, x- and y-axes) and 8.12 (Volumes of Revolution, Washer Method, other axes)

Lesson Summary: Let the revolution continue! Still all about circles, but now it's an outer circle and an inner circle. Find the outer radius, make a disc, then find the inner radius, make a disc, and subtract. It's still as easy as pi, right? Note: the "washer" method is not anything new. . . it's just two discs: the volumes are created by finding an "outer" disc and coring out an "inner" disc.

Summary Notes: General Cases

Action Items:

1. Take notes in class. If absent, review the summary above, the powerpoints below and/or the extra resources, take notes as necessary (use the Notes document if you prefer), and make note of any questions you may have.

2. HW: 6.2.3: #7 - 15 odd; 18, 19-21; 23-25; and 27-29; 31, 32, 35, 36. Two day assignment (due Monday).

3. WaMap assignments 4.5, 4.6, & 4.7 (optional)

4. Highly recommended: watch and annotate the AP Classroom videos, 8.11 and 8.12.

Resources:

Topic 41: Volumes of Solids of Revolution, Washer Method
Topic 41: Volumes of Solids of Revolution, Washer Method, Notes Optional
Stewart, Chapter 6, Section 2
WaMap Assignments
AP Classroom Daily Videos: 8.7 and 8.8
Homework Solutions