A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12 ft^3/min, how fast is the water level rising when the water is 6 inches deep?© BrainMass Inc. brainmass.com December 15, 2022, 4:27 pm ad1c9bdddf
If you draw a careful picture of the trough, you will realise that it is basically a prism with its top open (where it is being filled!). The volume of a prism is V = Area of Cross-Section x Length.
The Area of Cross Section is the area of any one of the ...
This uses the water level in a trough to show how ot determine instantaneous rate of change.