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all right so lets take a look at this problem here we have to find the rate of change of the height of the water level if the hose is pouring 2 feet cubed per minute and how are we going to do that well again we have we have volume we know how much volume is being poured in so were going to have to relate volume to hide again very similar well youll see theyre theyre substantially well theyre not substantially different but youll see there is a difference between this problem in the last one so let me just draw a little workspace for us ok so the first thing we can we can do is try and relate volume to height so the volume of this of this now triangular type of section is going to be equal to 1/2 times the base times the height times the length right its just the area of the triangle you can think of it pushed through space so times the length thats the volume of that section that Ive filled in with water ok so now we have two unknowns though we dont know what this the lengt
