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\Large \bf  The Tilted Bottle\\ \vspace{.5cm}
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Investigate the following question:

\begin{quote}
A cylindrical container 6 inches high and 2.5 inches in diameter is 
80\% full of water and sits on a level table. The cylinder is tilted so that the 
plane of its base makes an acute angle of $\theta$ radians with the  table. 

At which value of theta will water just begin to flow out of the container?
\end{quote}

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{\bf \small NOTE: This problem was originally suggested by Professor Peter Russell of McGill 
University. During a drive from the Montreal airport he was 
behind a beer 
delivery truck on whose sides cases of bottled beer sat in racks at an angle 
which made it easy for the delivery man to remove them.  Dr. Russell noted that the 
fluid in the necks of the bottles didn't touch the lids even though the angle of 
the cases was actually rather steep and wondered exactly what angle would 
cause that to happen.}

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