Question

The height and radius of an expanding right circular cone are always equal, and the volume of the cone is increasing at the rate of 2 cubic inches per minute. How fast is the radius growing when the height is 2 inches?

Answer 1

There's some of my work. I'm stuck with how to go about finding dh/dr. I need to find this in order to get dv/dr. What dertivative can I take with dh/dr?

Answer 2

Here's what I'm thinking: should I take dh/dr of r=h? dh/dr(r)=dh/dr(h). -->dh/dr=1. Is this correct?

Answer 3

So pretty much, I'm trying to find the derivative of height with respect to the radius here. I don't need help with the rest of the problem, just this small part of it. If r=h, then isn't the derivative of h wrt r dh/dr=1?