## Problem of the Day #73: Billy’s Soda
*May 31, 2011*

*Posted by Sreenath in : potd , trackback*

Billy is deciding between two different cups of soda. They each have a base of diameter $4$ and mouth of diameter $5$. The smaller size has a height of $6$ units, while the larger has a height of $8$ units.

Albert suggests that the larger one has $\frac{64}{27}$ the volume of the smaller one. Billy suspects he is mistaken. Help Albert compute the correct ratio of the volumes.

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