Name: Anonymous 2006-10-28 14:29
This problem has been giving me trouble for a couple of hours now. How would you find the initial volume of a sphere, given only the rate at which the circumference is decreasing and the time that it takes for the volume to reach 0?
I figure I should start with C=2pi(r) and use implicit differentiation to get dC/dt = 2pi(dr/dt), but where do I go after I solve for dr/dt?
I figure I should start with C=2pi(r) and use implicit differentiation to get dC/dt = 2pi(dr/dt), but where do I go after I solve for dr/dt?