# 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 $0.1~\mbox{m}$ and a spigot of radius $0.01~\mbox{m}$. Initially the lemonade is at a height of $0.5~\mbox{m}$ 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 $-9.8~\mbox{m/s}^2$.
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