CHAPTER5

Volumes and Areas of Solids of Revolutions

In This Chapter

  • Calculating volumes of solids using disks, washers, and shells
  • Determining the distance from point A to point B
  • Understanding areas of solids

We’ve dealt with a review of Calculus I and what happens in the xy-plane—limits, rates of change, and accumulation. Now we get to look at a few three-dimensional issues (the operative word being few). What happens when the region formed in a two-dimensional plane is rotated around a line in that plane? The result is a three-dimensional solid. In this chapter, we will explore the process of computing the volume and surface area for these ...

Get Calculus II now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.