My mommy is collecting pennies in an old glass milk jug, and also we simply recently obtained the halfway mark. But figuring the end how numerous pennies are in the jug fries my brain. I'm no looking for response accurate come the cent, but a turbulent estimate would certainly be cool to have. Together it is, ns think a dime made it in, for this reason it'll never ever be 100% anyway.
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The shape of a coin is not a traditional shape, so over there isn't an agreed upon packing density (how effectively the room is filled with pennies). A very comparable post shows an empirical packing density of ~57% because that a united state penny, for this reason of 2.5 gallons, only 1.425 gallons is taken up by penny. The us penny is 0.75 inches in diameter and 0.0598 customs thick, for this reason the volume functions out to:
pi*(0.75/2)^2 * 0.0598 = 0.02642 in^3
1.425 gallons is 1.425 gal * 231 in^3/gal = 329.175 in^3
Dividing these numbers giver variety of pennies:
# pennies = 12459.86 pennies or about $124.60
I bet I could fit more
Well each gallon v the volume totally filled through pennies would certainly be 11314 pennies, however with the waiting pockets in between them they have the right to fit about 8000 pennies in every gallon. Therefore that would be about 20000 pennies in all of those 2.5 gallons, as such you need to be looking at approximately $200.
STEP 1: sweet the jar complete of pennies. Note the number.
STEP 2: dump all the pennies out
STEP 3: sweet the empty jar. Note the number.
STEP 4: weigh 10 random pennies from your pile, don't take them every from the same spot, and also find the median weight by adding their separation, personal, instance weights together and also dividing by 10. Note the number.
STEP 5: take the number from action 1 and subtract the number from step 3 then division by the number from action 4. (S1 - S3) ÷ S4 = about how numerous pennies friend have. Divide again by 100 to obtain the value in dollars ± a penny.
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STEP 6: put all the pennies back before mommy finds out.
And they said math has actually no real civilization applications
Created Apr 26, 2013
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