Doug C. answered • 10/21/22
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Doug C.
The video shows rotating R about the y-axis using the shell method, where shells are parallel to the y-axis. If the rotation was about the x-axis the definite integral would look like outer radius squared (4^2) minus inner radius squared (f(x))^2. I added a row to the graph to depict that volume about the x-axis using washer method. desmos.com/calculator/10f2b84xty
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10/24/22
Luke J.
Correct me if I'm wrong, but didn't you calculate the volume by rotating around the x-axis and not the y-axis? As the original problem prompt states "...by rotating R about the y-axis is given by..."10/24/22