1. The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second. A. At the time when the radius of the sphere is 12 meters, what is the rate of increase in its volume? (12 points) B. At the time when the volume of the sphere is 367 cubic meters, what is the rate of increase in its surface area? (15 points) C. Express the rate at which the volume of the sphere changes with respect to the surface area of the sphere (as a function of r). (6 points)