1. Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in³/min. a. How fast is the level in the pot rising when the coffee in the cone is 5 in. deep? b. How fast is the level in the cone falling then? How fast is this level falling? How fast is this level rising? 2. A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 ft above the bow. a. How fast is the boat approaching the dock when 10 ft of rope is out? b. At what rate is the angle & changing then (see the figure below)? Ring at edge of dock