Download presentation

Presentation is loading. Please wait.

Published byKali Matson Modified over 7 years ago

1
S OLIDS OF R EVOLUTION 4-G

2
Disk method

3
Find Volume – 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

4
Washer Method

5
Volume of Washer: 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 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
2)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-axisb) 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
H OME W ORK Finding Volumes of solids using washers and disks worksheet

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google