Download presentation
Presentation is loading. Please wait.
1
Cylinder Cylinder Shell
VOLUMES BY CYLINDRICAL SHELLS Cylinder Cylinder Shell
2
VOLUMES BY CYLINDRICAL SHELLS
3
E-II T-061 VOLUMES BY CYLINDRICAL SHELLS step1 step2 step3 step4 step4
Graph and Identify the region Draw a line parallel to the rotating line at the point x step2 step3 Rotate this line about the rotating line step4 Find: in terms of step4 Find: step5 The volume is given by Note: rotating line is y-axis dx and we draw a parallel line to y-axis
4
VOLUMES T-141
5
T-122 VOLUMES BY CYLINDRICAL SHELLS 1 2 3 4 5 6
Graph and Identify the region Draw a line parallel to the rotating line at the point y 2 3 Rotate this line about the rotating line 4 Find: in terms of 5 Find: 6 The volume is given by Note: rotating line is x-axis dy and we draw a parallel line to x-axis
6
VOLUMES BY CYLINDRICAL SHELLS
7
VOLUMES SUMMARY: The solids in all previous examples are all called solids of revolution because they are obtained by revolving a region about a line. DISK SHELLS WASHER Rotated by x-axis or a line parallel to x-axis Rotated by y-axis or a line parallel to y-axis
9
Final T-131
10
VOLUMES T-102
11
VOLUMES T-131
Similar presentations
© 2025 SlidePlayer.com Inc.
All rights reserved.