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| It's past my bedtime, too, but one thing I saw right away is that
| you're solving for the wrong value. You want to find h when Agas is
| 1/4 the area of the entire circle.
I mis-understood then. I thought our gas-gauge was broken
and we wanted to measure the amount of gas with a dipstick.
but we have a working gas-gauge, and want to use it
to measure a stick of unknown length.
so, you fix the one typo I made, and solve for "h" (or
solve for "aprox. h" [1])
when the tank is 1/4 full, the mark on the stick is
at just under 0.6*R
--jeff
[1] if you are an engineer, you can pretend the equation is linear...
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