
Total Differential
* The volume V of a right circular cone of radius r and height h is given by V= 1/3 pi r^{2} h. Suppose the height increases from 10cm to 10.01cm, while the radius decreases from 12cm to 11.95cm. Use a total differential to approximate the change in (delta) V in volume.

Re: Total Differential
What
have
you
done?
Surely you know you can't just come on here, post a question without any comment and expect some help.
How are we supposed to know what you know, what you forgot, why you can't do this?

Re: Total Differential
The total differential is given by $\displaystyle dV = \frac{\partial{V}}{\partial{r}}dr + \frac{\partial{V}}{\partial{h}}dh$. The quantities dr and dh are given. I'm guessing partial derivatives are new for you  can you figure out what $\displaystyle \frac{\partial{V}}{\partial{r}}$ and $\displaystyle \frac{\partial{V}}{\partial{h}}$ are?
 Hollywood

Re: Total Differential

Re: Total Differential
No,
but
you
were
a
little
hard
to
read!

Re: Total Differential
thanks for giving me the clue, i'm new to this. I can now solve the entire problem.
Jakeshinryu

Re: Total Differential
I just need a hint to solve the problem, i admit that i am not an expert to this field so i need ideas that give me a clue to get a solution. Thanks for your criticsm.
jakeshinryu