Water is leaking out of a cone-shaped cup that has a diameter of 4 inches and height of 6 inches.
If the water is leaking out at a rate of 1/2 cubic inch per second, find the exact rate at which the water level h is dropping when the diameter of the surface of the water is 2 inches.
This is an open response question. Please submit all of your work. All Open Response assignments must be handwritten with all work shown and/or explanations provided.