What is the Time to Drain a Tank with a Small Hole at the Base?

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To calculate the time it takes for a large tank with a small hole at the base to drain completely, the Torricelli's equation can be applied. The discussion indicates that the hole's diameter is significantly smaller than the tank's diameter, allowing for simplified calculations. Participants note that viscosity effects can be ignored for this problem. The primary focus is on applying the principles of fluid dynamics to derive the solution. Understanding the relationship between the height of the water and the flow rate through the hole is essential for solving the problem.
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A large tank with Diameter D, open to the air , contains water upto heigh h . A small hole with diameter d( d<<D) is made at the base of the tank. Ignoring the effects of visocity , calculate the time it takes for the entire water to drain completely.
 
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ok. so what's the problem? what have you done already?
where are you stuck?
 
that would be a streamline problem solved using the Torracelli eqn, n'est pas?
 

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