How to find the solid generated by revolving a loop of the curve about the initial line.

Here I used the fact that the volume

But I couldn't get the answer. The answer should be

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- Dec 10th 2008, 01:53 PMdimukvolume
How to find the solid generated by revolving a loop of the curve about the initial line.

Here I used the fact that the volume

But I couldn't get the answer. The answer should be - Dec 10th 2008, 02:17 PMgalactus
Did you try the Theorem of Pappus?. That may be a good choice here.

Find the area of the region multiplied by the distance traveled by the centroid, then multiply by 2Pi