Use the Figure 1 to answer the question below.

Depth A trough is 12 feet long and 3 feet across the top (see gure). Its ends are isosceles triangles with altitudes of 3 feet. (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when the depth h is 1 foot? (b) If the water is rising at a rate of % inch per minute when h = 2, determine the rate at which water is being pumped into the trough