This lesson covers the techniques needed to find the volume of a solid of revolution using washers. Rotations about both the x- and y-axes are considered, as well as rotations about a line. Volumes using cylinders are covered in a separate lesson.
This lesson is appropriate for both AP Calculus AB and BC, as well as college calculus.
Detailed answer keys are included.
The topics covered include:
-Volume of a Washer
-Rotating About the x-axis
-Using the Washer Volume Formula About the x-axis
-Rotating About the y-axis
-Using the Washer Volume Formula About the y-axis
-Solids Obtained by Rotating About a Line
In this product, you will find the following:
-Powerpoint Presentation (19 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)
This lesson is part of a larger unit on Areas and Volumes. The complete unit includes the following:
-Areas Between Curves
-Volumes by Disks
-Volumes by Washers
-Volumes by Cross Sections
-Volumes by Cylindrical Shells
Save money and buy all five lessons as a bundle:
-Areas and Volumes Unit Bundle