Describe the solid by inequalities in cylindrical coordinates which is enclosed by and the two cylinders
Just need someone to quickly verify this,
(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 ?