Derive expression for water level height as function of time


A cylindrical tin can with diameter D_1= 85mm has a circular hole drilled in the bottom with diameter D_2= 6.35 mm. Initially at time t=0 sec, the tin can is filled with water to height of h_0= 103mm. Derive an expression for the water level height h(t) as a function of time and determine the time it takes to completely drain within +/- 10%. assume flow is incompressible and inviscid (i.e. use Bernoulli).

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Mechanical Engineering: Derive expression for water level height as function of time
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