Describe the solid by inequalities in cylindrical coordinates which is enclosed by and the two cylinders
Just need someone to quickly verify this,
I have
,
and
(not sure how else to state that one)
is this correct?
I would draw it first and then work backwards. Now cylindrical coordinates are so you have right but from the plot below, z will depend on and and note as I increase z, the angle that t goes through changes as a function of z. But we can find that angle from solving the simultaneous equation:
for constant z then obtain the two angles as then I think it would go something like:
Thank you very much for providing a picture, I made a careless mistake of assuming that the plane did not cut the object through the xy-plane. However, it isn't clear to me that theta is changing with respect to z from examining the plot at different angles.
I'm still a little bit confused on how to go about solving that. Would you mind explaining to me the choice of equating with rather than ?