Sketch & Find Volume of Rotated Shell: y=x^2+1, y=-1

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To find the volume of the shell formed by rotating the area between the curves y=x^2+1 and y=-1 around the line y=-1, a vertical or horizontal strip must be sketched. The discussion highlights confusion about starting the problem, with a suggestion that using dy might be appropriate. Participants encourage sharing the integral setup to identify where the difficulties lie. Clarification on the shape in the plane and the method of rotation is also sought. The conversation emphasizes the importance of visualizing the problem to facilitate understanding.
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Homework Statement


I have to sketch a vertical or horizontal strip and state an expression for the volume of the shell formed by its rotation. Do not solve

y=x^2+1 x=0
y=1 x=1

around y=-1

Homework Equations





The Attempt at a Solution


I'm really lost because I don't know how to get started. I think dy works but I can't get it right. Any help will be great thanks.
 
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Have you figured out the shape in the plane? As a volume of revolution?
Pls post what you have for the integral so that we can see where you are stuck.
 

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