"The volume of a cone of radius r and height h is given by v=1/3 pi r^2 h.If the radius and the height both increase at a constant rate of 1/2 centimeters per second, at what rate,in cubic centimeters per second, is the volume increasing when the height is 9 cm and the radius is 6 cm?"
Using the radius and height given, I first found the volume, which is 108 pi. Now from the problem, I know that dr/dt=1/2. So I would have to find the derivative of the volume, but I am still missing dh/dt. In order to solve for dh/dt, do I make dv/dt = 108 pi? I don't think so, but I'm trying really hard to solve these problems on my own.
Thanks for reading.