Re: Rate of change problem

You should know that the volume of a cone is and you are given

The question is asking you to find .

From the chain rule we know that

Do you know how to proceed from there?

Re: Rate of change problem

I was stuck on H= Pi r^3. Basically, i am stuck at where you stopped. Pi R^4 works also.

Re: Rate of change problem

If then what is ?

Re: Rate of change problem

Re: Rate of change problem

That is the answer to the final question: .

To find the rate of change at 7 inch radius sub in into the above equation

Re: Rate of change problem

I did that before but it is different from the answer i have. The answer for the question is 441pi = 1385.4 from the final review sheet. I tried every way possible that I know of but couldnt get 441pi = 1385.4.

edit - what you did seem to be the correct way but the outcome is different from the answer on my final review sheet. I was doing your way before i came here, but my answer never match the solution on the review sheet.(Crying)

Re: Rate of change problem

the correct solution is

... looks like a digit was left off the end of the given "answer".

Re: Rate of change problem

4116 was what i got numerous time. I guess the Math department made a mistake. Thank you for all of your help I really appreciate it.