Hey all, thanks in advance for any help you can offer.
I have completed most of the problem here, I just need some help in the right direction! Most of this problem will be trig, but I posted this in the calculus forum because it is calculus level. I will go ahead and post the whole problem in the form of an image to make things easier, with my questions at the bottom.
My questions are from 46.1.2 and on. I have determined that the radius at the top of the cup is twelve, and I used the concept of similar triangles to express r as h.
Could somebody please look this over?:
Is this correct so far?
Now is where my questions come in. 46.1.3 is driving me crazy. How do I find dh/dt? Here is my work so far:
Is what I found for dv/dt correct? If it is, how do I go about finding dh/dt?
Thanks for any help you can offer, and sorry for the wall of text!
-dan
Ok, I think I am starting to get it. Thank you! How does this look?
Now we get down to derivatives. How do I get dh/dt? I think this is correct for dv/dt, except for missing information:
Thank you so much!