Section 6.2 Worksheet:

Assigned problems: Exercises pp. 387-389, #1, 9, 12, 21, 22, 43, 46, 48, 59 (due Monday, 11/19).

1. First things first: what is a cylinder, as defined in this section? (You may be surprised!)

2. What is a cross section, and how does it relate to a loaf of bread?

3. Volume, like area, is defined as a limit. Thinking very geometrically now, volume is a limit of a sum of what sorts of geometrical objects?

4. What is a solid of revolution? What do washers and disks have to do with such solids?

Notes:

1. I really believe that the hardest thing about volume is simply the fact that the objects are now in three-D, rather than the familiar two-D (which is a lot easier to draw in!). Work very hard to try to conceptualize the three-dimensional objects with which we work in this chapter. Some students will actually get out a knife and cut up some three-D objects, just to get a hang of cross sections, etc. Slice up an orange and estimate its volume!