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math in society 2.4 #51

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A piece of paper can be made into a cylinder in two ways: by joining the short sides together, or by joining the long sides together12. Which cylinder would hold more? How much more?

killakels  Sep 5, 2018

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A short cylinder made of a piece of paper will hold more than a tall one. You are taking the square of the longer side versus the shorter one.

$$11\pi(\frac{8.5}{2\pi})^{2}=\frac{794.75}{4\pi}\ \textrm{vs.}\ 8.5\pi(\frac{11}{2\pi})=\frac{1028.5}{4\pi}$$

helperid1839321  Sep 5, 2018
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$$11\pi(\frac{8.5}{2\pi})^{2}=\frac{794.75}{4\pi}\ \textrm{vs.}\ 8.5\pi(\frac{11}{2\pi})=\frac{1028.5}{4\pi}$$