Volume Through Integration
Volume Through Revolution of a Solid
Washer and Disk Method
Types of Problems:Using Integration to determine the volumes of solids that are created through revolution about the x axis
Using Integration to determine the volumes of solids that are created through revolution about a horizontal line
Using Integration to determine the volumes of solids that are created through revolution about the y axis
Using Integration to determine the volumes of solids that are created through revolution about a vertical line
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Homework & Practice5-1-19 Volume by disk and washer about x and y axis
BLANK COPY 5-1-19 Volume by disk and washer about x and y axis
WORKED OUT SOLUTIONS GEOGEBRA Link to #3
PROBLEM #3 Link 5-3-19 Volume by disk and washer about NOT x and y axis
BLANK COPY |
Video and other resourcesAnimation of Volume by Revolution about x axis
YOU TUBE Video 1 Professor Dave Explains
This video does an excellent job introducing the topic of volume by solids of revolution (in about 12 minutes) YOU TUBE Video 2 Professor Leonard Explains
Another good video that has worked out examples LONG LONG VIDEO (almost 3 hours) YOU TUBE Video 4 |
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Other Resources
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Rotating region about a line that is NOT an axes (washer method)
YOU TUBE Video 5 |
Desmos FilesTHIS REVOLVES ABOUT X AXIS
DESMOS LINK Mr. Hickman Explains HOW
I made a video to show you how to use the DESMOS File above (11 minutes) MR H VIDEO 1 THIS REVOLVES ABOUT Y AXIS
DESMOS LINK |
Geogebra Files |
Volume by Cross Sections
Types of ProblemsDetermine the volume associated with types of shapes created by a shaded region and semicircles, squares, isosceles right triangles, rectangles, and equilateral triangles
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Homework & Practice5-6-19 Volume by Cross Sections
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Video and other resources |
Volume through Cylinders
Shell Method
Types of Problems: |
Homework & Practice |
Video and other resources |
