1 / 8

Volumes of Solids of Revolution: Shell Method

Volumes of Solids of Revolution: Shell Method. Adapted by Mrs. King from http://tutorial.math.lamar.edu/AllBrowsers/2413/VolumeWithCylinder.asp. Find the volume generated when this shape is revolved about the y axis. We can’t solve for x, so we can’t use a horizontal slice directly.

nike
Download Presentation

Volumes of Solids of Revolution: Shell Method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Volumes of Solids of Revolution: Shell Method Adapted by Mrs. King from http://tutorial.math.lamar.edu/AllBrowsers/2413/VolumeWithCylinder.asp

  2. Find the volume generated when this shape is revolved about the y axis. We can’t solve for x, so we can’t use a horizontal slice directly. www.letu.edu/people/.../Lesson7.3Volume-TheShellMethod.ppt

  3. If we take a vertical slice and revolve it about the y-axis we get a cylinder. www.letu.edu/people/.../Lesson7.3Volume-TheShellMethod.ppt

  4. Shell Method • Based on finding volume of cylindrical shells • Add these volumes to get the total volume • Dimensions of the shell • Radius of the shell • Thickness of the shell • Height www.letu.edu/people/.../Lesson7.3Volume-TheShellMethod.ppt

  5. Example: • Determine the volume of the solid obtained by rotating the region bounded by and the x-axis about the y-axis.

  6. Example

  7. Page 474 #1-3, 5, 6, 8 Homework http://mathdemos.gcsu.edu/mathdemos/shellmethod/

More Related