3. Every mathematician knows the importance of coffee. In this problem we will determine how quickly a drip coffee machine transfers water from the filter to the pot. So here is the set up: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in/min. The following picture gives the measurements of the various parts. 6" 6" How fast is this level falling? How fast is this level rising? 6" a. How fast is the coffee in the coffeepot rising when the coffee in the cone is 5 in. deep? b. How fast is the level in the cone falling at that point