The problem I have is that the line around which the circle must be rotated cuts the circle in two parts. Any hint or help with what to do with it will be useful. Thanks.
2026-03-26 04:53:06.1774500786
Calculate the volume obtained by rotating around the y axis the circle $(x+1)^2+y^2=4$
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You can think of it as integrating the following, rotated around the black axis:
You can find the volume of the red area with spherical coordinates and the green area with cylindrical coordinates.