The radius of a cylinder is decreasing at a constant rate of 6 meters per second, and the volume is decreasing at a rate of 1348 cubic meters per second. At the instant when the height of the cylinder is 44 meters and the volume is 762 cubic meters, what is the rate of change of the height? The volume of a cylinder can be found with the equation V = πr²h.
a) 2.236 m/s
b) 3.548 m/s
c) 4.651 m/s
d) 5.892 m/s