Volume method, having trouble picturing

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SUMMARY

The discussion focuses on the application of the washer method for calculating volumes of revolution, specifically for the region enclosed by the curves x = y² and x = y + 1, revolved around the y-axis. The user, Casey, identifies the bounds of integration as y = -1 and y = 2, noting that the cross-sections formed are hollow washers rather than solid disks due to the curves not intersecting the y-axis. This distinction is crucial for accurately applying the volume formula in calculus.

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Students and educators in calculus, particularly those learning about volumes of revolution and the washer method, as well as anyone seeking to improve their understanding of cross-sectional areas in integration.

Saladsamurai
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So I know it is the "washer" method...but because the book says it is.

The region enclosed by [tex]x=y^2[/tex] and [tex]x=y+1[/tex] revolved around the y-axis.

Now I think I see it , but is it a "hollow" washer because my bounds y=-1 and y=2 (where the curves intersect) are not ON the axis, thus my coss sections are not disks...

that is to say "the region between the points of intersection and the y-axis does not get "swept out" during the revolution"...

I know this is tricky without a diagram,
thanks,
Casey
 
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