A trough is 12 feet long and 3 feet across the top (see figure). 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 whenhis 1.3 foot deep?

_________ ft/min

(b) If the water is rising at a rate of inch per minute whenh= 2.1, determine the rate at which water is being pumped into the trough.

_________ ft^3/min