Topic 39 = Stewart 6.2 Volume of a Solid with a Known Cross Section =

AP Classroom 8.7 (Volumes from Cross Sections: Squares and Rectangles) and 8.8 (Volumes from Cross Sections: Triangles and Semi-circles)

Lesson Summary: we are literally building on the idea of the area between two curves by using the length between the two curves as the side of a known shape (semi-circles, squares, rectangles, and triangles). By integrating, we turn the area into a volume (adding a dimension).

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. Book Practice: 6.2.1 p. 440 #54, 57, & 58; and p. 458 #23, 24.

3. WaMap assignment (optional) 4.6, Volumes of Solids of Known Cross Sections.

4. Highly recommended: watch and annotate the AP Classroom videos, 8.7 and 8.8.

Resources:

Topic 39: Volumes of Solids with Known Cross Sections
Topic 39: Volumes of Solids with Known Cross Sections, Notes (Optional)
Stewart, Chapter 6, Section 2
WaMap Assignments
AP Classroom Daily Videos: 8.7 and 8.8
Homework Solutions