Diameter vs. mass
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Mar 23, 2014
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I was collecting firewood yesterday, and naturally I was thinking about math. Specifically, how much more does a log with a larger diameter weigh than a log with a smaller diameter? Assuming a log is a perfect cylinder, its . For two logs that have the same density and the same length, the change in mass is the following: It's actually the same result as pizza math. What this means in reality is that a log that's 15 inches in diameter compared to a log that's 7 inches in diameter (114% increase, or 2.1 times) is (4.6 times) heavier. More generally, a log with times the diameter will weigh times as much. And that's why my back hurts today. #math
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