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) 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) The water is rising at a rate of 3/8 inch per minute when h = 2. Determine the rate at which water is being pumped
into the trough.
h

Transcribed Image Text:

3 ft 12 ft 2 ft3 min 3 ft h ft