Whoops! Something went wrong.

Click here to refresh the page

AP Calculus: Volumes by Cylindrical Shells Complete Lesson

AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
Product Rating
File Type

Compressed Zip File

Be sure that you have an application to open this file type before downloading and/or purchasing.

5 MB|45 pages
Share
Product Description
This lesson covers the techniques needed to find the volume of a solid of revolution using cylindrical shells. Rotations about both the x- and y-axes are considered, as well as rotations about a line. Volumes using disks and washers are covered in a separate lesson.

This lesson is appropriate for both AP Calculus AB and BC, as well as college calculus. Note that while finding volumes using cylindrical shells is not explicitly tested on the AP exam, students can earn full credit by using the method. Also, it is something they would likely see in a college calculus course.

Detailed answer keys are included.

The topics covered include:
-Volume of a Cylindrical Shell
-Using Cylindrical Shells to Find Volume
-Rotating About the y-axis
-Rotating About the y-axis
-Rotations About a Line
-Choosing the Best Method

In this product, you will find the following:
-Powerpoint Presentation (30 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
Total Pages
45 pages
Answer Key
Included
Teaching Duration
50 minutes
Report this Resource
Loading...
$6.50
Digital Download
More products from Grab a Pencil
Product Thumbnail
Product Thumbnail
Product Thumbnail
Product Thumbnail
Product Thumbnail
$6.50
Digital Download
Teachers Pay Teachers

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.

Learn More

Keep in Touch!

Sign up