"Coffee is draining from a conical filter(height 6" diameter 6") into a cylindrical coffeepot (diameter 8" height not given) at a rate of 10in^3/min. How fast is the level in the pot rising and how fast is the level in the cone falling when the coffee is 5"deep?"
For the first part, I got as far as h'=(v'-2pirh)/(pir^2) or h'= (10-8pih)/(16pi) but I'm not sure how to find h without aditional conditions. Am I even headed in the right direction?
I havent the slightest idea how to go about the second part. Is the 5" deep is referring to the coffee in the pot?
Any and all help appreciated.