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Question: applied computational problem a community has a cylindrical water...

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) Applied computational problem: A community has a cylindrical water tank with a drain at the base. It is filled to a depth of 15 m. When the drain is opened, the water will flow fast when the tank is full and slow down as it continues to drain. When draining, the water level drops at the following rate.

dy dt cyy

‘c’ is a constant taking into account shape of the hole and cross-sectional area of the tank and = 0.06. Water depth is in meters (y) and time (t) is in minutes. If the drain fails, how long will it take for the tank to drain and the community to be out of water? Use Euler’s Method in a spreadsheet, yi = 15m, ti = 0 and h = 2 minutes. If the step size is halved to 1 minute, how does your answer change? Include your spreadsheet print outs and charts for both scenarios.

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