Gallon of Dimes or Quarters

[PureStang]

What is the higher $ value? A gallon of dime or a gallon of quarters? This is just a theoretical questions, do not account for space between coins.

In my math, im coming out with $1,116.50 (dimes), and $1,168.25 (quarters)...but i dont think that is correct :shrug:

Assuming that:

Rounding down to nearest whole number
Volume = PI*(r^2)*h
Dimes

d=0.705" h=0.053"
= 0.0000119729145 ft^3​

Quarters

Quarter: d=0.955" h=0.069"
= 0.0000286023430 ft^3​

1 US Gallon = 0.133681 ft^3​

can somebody check me please?

 

[91GT]

If you are not counting the space between the coins then it really comes down to worth vs volume, as you calculated. But if you just want to know what is worth more, we can cheat a bit.

The densities should be the same for both coins so we can just look at the worth vs weight.

A dime is 2.27 grams and worth $0.10 = 4.405 cents/gram

A quarter is 5.67 grams and worth $0.25 = 4.409 cents/gram

So the gallon of quarters would be worth marginally more. Pretty much the same really.

 

[Riddla]

E=MC^2 which makes the gallon of quarters more valuable.

 

[SonicDTR]

By figuring it up in CC's I came out with $1169.4155 in quarters and $1112.5602 in dimes.

Sources:

http://www.usmint.gov/about_the_mint/index.cfm?action=coin_specifications

and

http://www.online-calculators.co.uk/volumetric/cylindervolume.php

 

[VenomousDSG]

It's a trick question, they both will be the same...

The mass of a dime is 2.268 grams, and the mass of a quarter is 5.67 grams. You need 2 and a half dimes to equal a quarter so 2.268 x 2.5 = 5.67, which is exactly the same amount as a quarter.

 

[SonicDTR]

It's a trick question, they both will be the same...

The mass of a dime is 2.268 grams, and the mass of a quarter is 5.67 grams. You need 2 and a half dimes to equal a quarter so 2.268 x 2.5 = 5.67, which is exactly the same amount as a quarter.

It looks like a question about volume to me. :shrug:

 

[VenomousDSG]

It looks like a question about volume to me. :shrug:

Reading comprehension > me

I just read the title and posted. :rolling:

 

[05slvrgt]

Removing excess space from the equation wouldn't it just be whether or not a quarter has the volume that is 2.5 times that of the dime?

 

[prs97]

"Somebody go back and get a sh*tload of dimes!!!"

 

[Guy Fawkes]

Now let me throw you for another loop. If you had that many quarters in a jar you would probably have 1-2 pre 1965 quarters which are 90% silver. One of those quarters these days is worth about $5.