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Calculate the volume generated when the region bounded by the curve y = 9 - X^2 , the line X = 2 and the x-axis is rotated 2pi about the y-axis.
For the part that lies in the second quadrant, i can integrate 9 to 0, then plug it into the volume formula. Then i have to add the volume of the part in the first quadrant. But since the X = 2 line slices a part of the area off i don't know how to integrate it respective to the y axis.
For the part that lies in the second quadrant, i can integrate 9 to 0, then plug it into the volume formula. Then i have to add the volume of the part in the first quadrant. But since the X = 2 line slices a part of the area off i don't know how to integrate it respective to the y axis.