Just needed to check something with you math experts ;o)

1. Find the volume of the solid obtained by rotating the region bounded by

and

, rotated about the line

Is it

??

2. Same premise as the previous problem, but with the following data:

region bounded by

and

, rotated about

Now, this really got me. Am I supposed to put it all in terms of

, so that the regions would be

and

?? I'm having a little trouble graphing these... but I think the lower limit is zero...?

Lastly,

3. When I'm told to use the method of cylindrical shells to find a volume, is that the following equation:

??

Thank you for your help!