Partial Derivatives of Functions

[HBST]

I am having some trouble solving the problem shown below. Can anyone point me in the right direction? or provide the location of a worked example?

The volume V of a cone of height h and base radius r is given by V=1/3 πr^2 h. The rate of change of its volume V due to stress expansions with respect to its height h and its radius r is to be determined. Derive the first order and second order partial derivatives. Determine the rate of change of its volume with respect to its height h and radius r if the original height h is 1.5 m and radius r is 0.5 m

 

[HallsofIvy]

Where, exactly, are you having difficulty? You are given the equation V= \frac{1}{3}\pi r^2h and asked to find the first and second partial derivatives of V with respect to r and h. Can you do that?

The last part of the question simply asks you to evaluate the first derivatives at the specified values of r and h.