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 ...

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