Suppose the town of Cambridge wants to repaint its water tower for the upcoming centennial celebration. Plans call for a brand of paint that is very durable, but VERY expensive. You have been hired by the Mayor's Office to determine how much paint will be needed for the job. From the original engineering blueprints, you see that the tower is a solid of revolution with three distinct parts. The Onion - defined by the region enclosed by the graph of x = 12 + y (50- Y) from 40 Y = 0 to y = 50 revolved about the y-axis. The Tube - a cylinder of height 40 feet and radius 12 feet The Trumpet - a truncated cone, 30 feet tall, with a base diameter of 40 feet. Determine the total surface area of the tower. Use your graphing calculator where necessary, but your report must clearly show the calculus involved in your computations. Part A Find the surface area of the Tube. BIU x X2 15px V Characters used: 0 / 15000Part B Find the surface area of the Trumpet. BIU X X2 15px v Characters used: 0 / 15000 Part C Find the surface area of the Onion. BIU X X2 15px Characters used: 0 / 15000 Part D Document your calculations and include narrative support to explain your process and results. (Assume that most at the meeting may not know any calculus, but just in case someone does, your analysis needs to be spot on!) Type or paste your work below or upload your work to the Graded Activities panel on the left-hand side of the screen. Be sure to submit the file for grading BI U X X 2 15px v Characters used: 0 / 15000