Describe a method you can use to determine the volume of the solid.
Will you use Washers or Disks? Will the bounds and integrand be written in terms of
Set up and evaluate the integrals needed to calculate the volume. (Using washers, the solution will require two integrals.)
The outside of this solid will be a cylinder with radius
The inside of the solid will have a hole. But what shape is that hole? Is it cylindrical?
Notice that the bottom of the hole is cylindrical (with radius
), while the top of the hole is determined by
Consequently, you will need to use the Washer Method twice... both of which are rotated about the y-axis.
Use the eTool below to help solve the problem.
Click on the link to the right to view the full version of the eTool. Calc 8-63 HW eTool