[Solved] Old Windmill Converted Restaurant Owner Needs Place Cylindrical Water Storage Tank Conical Q37216127

An old windmill is being converted to a restaurant and the owner needs to place a cylindrical water storage tank in the conical roof of the windmill. t is desired to maximize the volume of the storage tank. The conical roof is 1.5 meters high with base diameter 2.0 meters. The height of the cylinder (h) depends upon the radius (r) and can be determined from the simple equation: h =-1.5. r+ 1.5 In Matlab, plot the volume of the cylindrical tank as a function of radius. The range of radius should only be the feasible (physically possible) values for radius. Make the line red and dotted and add axis labels and a grid. a. b. What is the radius of the tank that maximizes the volume of the tank? What is the maximum tank volume? For full credit you must use a Matlab solver function and document all work Show transcribed image text An old windmill is being converted to a restaurant and the owner needs to place a cylindrical water storage tank in the conical roof of the windmill. t is desired to maximize the volume of the storage tank. The conical roof is 1.5 meters high with base diameter 2.0 meters. The height of the cylinder (h) depends upon the radius (r) and can be determined from the simple equation: h =-1.5. r+ 1.5 In Matlab, plot the volume of the cylindrical tank as a function of radius. The range of radius should only be the feasible (physically possible) values for radius. Make the line red and dotted and add axis labels and a grid. a. b. What is the radius of the tank that maximizes the volume of the tank? What is the maximum tank volume? For full credit you must use a Matlab solver function and document all work

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