Math question

MURP · August 25, 2005, 04:39:20 PM

rjs246 · August 25, 2005, 05:00:42 PM

QB Eagles · August 25, 2005, 05:01:00 PM

I happen to have a digital micrometer and a few coins to test in my office. The volume of a dime is about 310 cubic mm. The volume of a quarter is about 809 cubic mm. 310 x 2.5 is 775. Therefore the dime has the highest monetary density of the common pre-SBA coins.

For the record, he Sacagawea dollar coin has a volume of 1103 cubic mm and is therefore more economical than the dime.

MURP · August 25, 2005, 05:04:52 PM

Quote from: QB Eagles on August 25, 2005, 05:01:00 PM
I happen to have a digital micrometer

right next to the sharks with laser beams i presume.

rjs246 · August 25, 2005, 05:06:10 PM

Boobs.

Father Demon · August 25, 2005, 05:07:23 PM

I think I got it, and this guy was full of shtein (just as I thought because he's a habitual know-it-all)

I pretended I had enough coins to give me $100: 1000 pennies, 200 nickels, 100 dimes, 40 quarters, 20 half dollars, and 10 SBAs and Gold Dollars.

Then I used the diameter and wideth of each in milliliters, and used MURP's formula for the stack.

I think my answer is in cubic milliliters, if there is such a thing. Again, someone smart tell me.

Anyway, the answer is:

Coin Cubic milliliters (or whatever) for $10 worth of coins
Gold & SBA 176,494.7 (which we knew that was the most economical in space vs. money)
Half Dollar 506,296.6
Quarter 517,713.5
Dime 544,170.3
Nickel 2,204,732
Penny 7,068,569

So, I guess what all this means is that if you have one of those big giant water bottles you fill up with coins (not counting SBAs or Gold dollars), you'd be able to fit the most money in there with half-dollars. And if half dollars don't fit in the opening, then you would need to use quarters.

Thanks for the help. I can sleep better tonight.

Father Demon · August 25, 2005, 05:08:43 PM

Quote from: QB Eagles on August 25, 2005, 05:01:00 PM
I happen to have a digital micrometer and a few coins to test in my office. The volume of a dime is about 310 cubic mm. The volume of a quarter is about 809 cubic mm. 310 x 2.5 is 775. Therefore the dime has the highest monetary density of the common pre-SBA coins.

For the record, he Sacagawea dollar coin has a volume of 1103 cubic mm and is therefore more economical than the dime.

Damn... I thought my answer would kill this.

QB -- Where did I go wrong in my calculations?

QB Eagles · August 25, 2005, 05:23:46 PM

What values did you use for diameter and thickness, and what math did you use to obtain your results? I used (diameter/2)^2 * pi * thickness.

Father Demon · August 25, 2005, 05:27:30 PM

DIMES
diameter = 17.91 mm
width = 1.35 mm

QUARTERS
diameter = 24.26 mm
width = 1.75 mm

I used MURPs formula: PI * Radius squared * width

General_Failure · August 25, 2005, 05:28:58 PM

I don't even know who you people are anymore.

MURP · August 25, 2005, 05:32:15 PM

hey General, just get back to Nintendogs and forget it.

QB Eagles · August 25, 2005, 05:33:30 PM

(17.91/2)^2 *3.14159 *1.35 * 100 dimes = 34010.6

So where did you get 544,170.3?

NGM · August 25, 2005, 05:35:50 PM

What the farg happened on here? I'm scared GF...start banning them.

General_Failure · August 25, 2005, 05:37:01 PM

Quote from: NGM on August 25, 2005, 05:35:50 PM
What the farg happened on here? I'm scared GF...start burning them.

Fixed.

Father Demon · August 25, 2005, 05:44:47 PM

Quote from: QB Eagles on August 25, 2005, 05:33:30 PM
(17.91/2)^2 *3.14159 *1.35 * 100 dimes = 34010.6

So where did you get 544,170.3?

(17.91*2)^2 *3.14159 *1.35 * 100 dimes = 544,170.3

I think I found my error

But doing that with all my formulas leaves my ranking the same way. I still get that a quarter is more valuable space than a dime.

It's sad what me coming to a sports forum for math help says about my smarts.....