A refreshing gusher

A lemonade vat is essentially a big cylinder that rests on its end with a spigot on the very bottom. One particular vat is a cylinder with radius 0.1 m0.1~\mbox{m} and a spigot of radius 0.01 m0.01~\mbox{m}. Initially the lemonade is at a height of 0.5 m0.5~\mbox{m} in the vat. You then open the spigot. How long does it take for all the lemonade to flow out of the vat in seconds?


Details and Assumptions:

  • The vat is open to the air at the top.
  • The acceleration due to gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.
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