im working on a problem where i have to figure out the hight of water in a sphere in relation to time t with the water draining out of the shpere as speed V. how do i equate the volume of the sphere with relation to hight?

4/16/2007 9:45:59 PM

i hated that problem

4/16/2007 10:03:44 PM

but did you get it and if so how cause i know how to do all the rest exept for have the volume contain h

4/16/2007 10:07:09 PM

i remember it had something to do with manipulating the equation for the volume of the sphere in some weird way that no one would ever think of doing

it was like 3 years ago though

it problems like that one though that you never forget

4/16/2007 10:15:46 PM

Yeah, I vaguely remember someone posting about this same question as well, and me attempting to do it for some extra practice when I was taking this course. Couldn't figure it out though... Best thing I can say is set up a transient mass balance then transform it into a volumetric balance. You probably already know this, however...

Damn, I should be studying for my P-chem test, but I feel a wave of nostalgia coming on with this problem.

4/16/2007 11:45:25 PM

this sounds like the related rates problems we did in AP calc AB

4/17/2007 1:39:30 AM

bleh, I remember having to do this for a cone. I don't think I ever quite got it right, either.

if you can relate h to r, you should be able to do it

smash the 3d flat then integrate... so, think of it as a circle, and figure out how to relate h to r

4/17/2007 12:45:40 PM