Related rates
My brain is approximately the shape of an ellipsoid with major diameter 8", minor diameter 6", and height 3", but for the sake of argument, we'll say it's a right circular cone with radius 6 and height 3. If such a cone was removed from its protective container, slapped down on a table and subjected to approximately 50 calculus finals for 6 hours, it would begin to melt. Experimental data suggests that such melting will cause the height to decrease at a rate of 1/12" per minute. Assuming that no brain cells are actually consumed by the grading process (the volume won't change), what is the rate of change of the radius when the height is 1"?
I think I've actually given enough data to solve this problem.
I think I've actually given enough data to solve this problem.