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Problem 3 ( 20 points) A spherical water tank of radius R=2m is emptied through a small circular hole of radius r=0.08m at the bottom.
Problem 3 ( 20 points) A spherical water tank of radius R=2m is emptied through a small circular hole of radius r=0.08m at the bottom. The top of the tank is open to the atmosphere. The instantaneous water level h in the tank (measured from the bottom of the tank, at the drain) can be determined from the solution of the ODE: dtdh=2hRh2r22gh Where; g=9.81m/s2. Using fourth-order Runge-Kutta method, compute the water level at t=120 seconds if the initial (t=0s) water level is h=3.5m. Use a step of 60 seconds
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