I need to find the rate of change of the volume of a sphere with respect to the radius r .
Is the answer 4πr²
I know the volume of a sphere is (4πr³) / 3
And that dV/dr = (4π/3)(3r²) = 4πr²
If r was defined I would plug in the value for it and go through the rest of the problem, but since its not defined is that the final answer?