A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 11 in^3 / min how fast is the thickness of the ice decreasing when it is 2 in. thick? How fast is the outer surface area of ice decreasing?
let x represent the thickness of the ice, let V represent the volume of the ice, and let A represent the outer surface area of the ice. Write the equation that relates the rate of change in the thickness of the ice to the rate of change in its volume.