I am helping with a small construction project that will involve a 200 pound log, 8" diameter, 8 feet long, in a fresh water lake.

I know that the log would displace 326 pounds of water if it were submerged, but since it only weighs 200 pounds, some part of the log will be floating above the waterline.

It has been 60 years since my last calculus class, I no longer have the math to solve this: How much of the log will be above the water?

tanstaafl.
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