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!