The equation describing the water height h in a spherical tank with a drain at the bottom
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The equation describing the water height h in a spherical tank with a drain at the bottom is
Suppose the tank’s radius is r = 3 m and the circular drain hole has a radius of 2 cm. Assume that Cd = 0.5 and that the initial water height is h(0) = 5 m. Use g = 9.81 m/s2.
a. Use an approximation to estimate how long it takes for the tank to empty.
b. Plot the water height as a function of time until h(t) = 0.
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