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I have this problem bothering me. I am asked to find the volume bounded by two curves, when they were rotated about the y axis. I did it as usual.

Functions are y1 = cosx +1

[tex] y_2 = 2(\frac{x - \pi}{\pi}) ^2[/itex]

The way I did the problem is to find the volume of revolution of y1 and y2 first and then subtracting one from the other.

Plot is shown in the attachment. I keep getting that the volume created by y2, V2>V1.

which is not possible according to the graph.

I have done and checked this problem hundred times now and can not figure where I am going wrong. Please help.....

Functions are y1 = cosx +1

[tex] y_2 = 2(\frac{x - \pi}{\pi}) ^2[/itex]

The way I did the problem is to find the volume of revolution of y1 and y2 first and then subtracting one from the other.

Plot is shown in the attachment. I keep getting that the volume created by y2, V2>V1.

which is not possible according to the graph.

I have done and checked this problem hundred times now and can not figure where I am going wrong. Please help.....

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