Let $\displaystyle V =\pi r^{2}h, S = 2\pi r(r+h)$

Compute the following

$\displaystyle \frac{\partial V}{\partial h}|_{S}, \frac{\partial V}{\partial S}|_{r}, \frac{\partial S}{\partial V}|_{r}$

That is for the first partial derivative hold $\displaystyle S$ constant and so on for the other two partial derivatives.

So for the first one, am I suppose to solve $\displaystyle V$ in terms of $\displaystyle S$? I am not sure how to go about computing those partial derivatives. Thank you.