Topic 40 = Stewart 6.2 Volumes of Revolution

AP Classroom Videos: 8.9 (Volumes of Revolution, Disc Method, x- and y-axes) and 8.10 (Volumes of Revolution around other axes)

Lesson Summary: Let the revolution begin! This is all about circles. Find the radius, and integrate the circle: $LaTeX: \pi\int r^2$ . It's as easy as pi, right?

You're still going to use an "upper minus lower" or a "right minus left" idea to help find your radii.

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: 6.2.2: #1-6 all.

3. WaMap assignment (optional) 4.7, Volumes of Rotation.

4. Highly recommended: watch and annotate the AP Classroom videos, 8.9 and 8.10.

Resources:

Topic 40: Volumes of Solids of Revolution, Disc Method
Topic 40: Volumes of Solids of Revolution, Disc Method, Notes Optional
Stewart, Chapter 6, Section 2
WaMap Assignments
AP Classroom Daily Videos: 8.7 and 8.8
Homework Solutions