We first write the water volume as a function of the depth, :
Now we may differentiate both sides using the Chain Rule and solve for the rate of depth increase .
I'm having a hard time figuring out exactly what to do:
"A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing into the tank at a a rate of 10 cubic feet per minute, find the rate of change of the depth of the water when the water is 8 feet deep."
Thanks in advance