1 / 13

Solids of Revolution

Solids of Revolution. 4-G. Disk method. Revolve about a horizontal axis Slice perpendicular to axis – slices vertical Integrate in terms of x. Revolve about a vertical axis Slice perpendicular to axis – slices horizontal Integrate in terms of y. Find Volume – Disk Method. Washer Method.

trudy
Télécharger la présentation

Solids of Revolution

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. Solids of Revolution 4-G

  2. Disk method

  3. Revolve about a horizontal axis Slice perpendicular to axis – slices vertical Integrate in terms of x Revolve about a vertical axis Slice perpendicular to axis – slices horizontal Integrate in terms of y Find Volume – Disk Method

  4. Washer Method

  5. Horizontal axis of revolution Slice with rectangle perpendicular to axis Integrate in terms of x Vertical axis of revolution Slice with rectangles perpendicular to axis Integrate in terms of y Volume of Washer: Find Volume – Washer Method

  6. 1) Find the volume of the solid is bounded by the curve y = x and the x-axis between x = 0 and x = 1 rotated about the x-axis

  7. Find the volume of the solid when the region bounded by is revolved about the x-axis

  8. 3) Find the volume of the solid generated when the region bounded by is revolved about the x-axis

  9. 4) Find the volume of the solid generated when the region bounded by is revolved about the line y = 4

  10. 5) Set up the integrals for finding the volume of the solid formed by revolving the region formed by a) About the x-axis b) about y = -1

  11. 6) Find the volume of the solid generated when the region bounded by is revolved about the line y = 3

  12. 7) Find the volume of the solid generated when the region bounded by is revolved about the y-axis

  13. Home Work Finding Volumes of solids using washers and disks worksheet

More Related