Problem 6 (15 points) We are using fused deposition modeling to create a cylindrical cup. Assume that the cup is 100 mm high, with an outside diameter of 90 mm and a wall thickness of 4 mm. The bottom of the cup is also 4 mm thick. This is the same apparatus that we saw in a homework problem, with an extruder head diameter of 1.25 mm, and which produces layers that are 0.25 mm thick. The extruder head and polymer extrusion velocities are both 50 mm per second. There is a 10-second delay between layers for cleaning of the extruder head. How long will it take to produce the cup?