How Many Quarters Fit In a 55 Gallon Drum? (Answer, Value In Dollars, and Coin Converter)
Table of Contents
193,030 quarters worth $48,257.50 will fit in a 55-gallon drum. In this article, we explain how to calculate how many quarters fit in a 55-gallon drum and what they’re worth. We also have a free online conversion calculator that will tell you how many quarters are in a 55-gallon drum or other container sizes.
Please continue reading to try our conversion calculator and learn how to make the conversion yourself.
Quarters to 55 gallon drum conversion calculator
Our conversion calculator shows that 193,030 quarters worth $48,257.50 fit in a 55-gallon drum.
To convert different container sizes, enter the container size in gallons, and our calculator will tell you how many quarters will fit into it.
Note: The packing efficiency, also called packing density or packing fraction, is the ratio of the volume occupied by the quarters compared to the volume of the container itself. It is impossible to achieve 100% packing efficiency in the case of cylinders with a low aspect ratio, such as quarters. Here, we have chosen a packing efficiency of 75% (0.75), which is the highest practical efficiency that can be achieved.
Calculate how many quarters can a 55 gallon drum holds + Key variables
In this section, we explain how to calculate how many quarters can fit in a 55 gallon drum. After showing you how to find the answer, we then provide a summary of what we found.
Calculation Steps
To calculate the number of quarters that fit in a 55-gallon drum, follow these steps:
Step 1: Calculate the volume of the drum (208,197.65 cubic centimeters)
A 55-gallon drum is a cylinder with a volume of 55 gallons, 208.19765 liters, 0.20819765 cubic meters, 12,705 cubic inches, 208,197.65 cubic centimeters, or 208,197,650 cubic millimeters.
Step 2: Calculate the volume of one quarter (0.80893 cubic centimeters)
To find the volume, we used the fact that a quarter is a cylinder with a height of 1.75 mm and a diameter of 24.26 mm. The equation to find the volume of one quarter is the formula for a cylindrical container:
Volume = pi * radius² = pi * (24.26mm/2)² = pi * (12.13)² = 808.93 mm³=0.80893 cm³
Step 3: Divide the volume of the drum by the volume of a quarter to find the theoretical maximum number of quarters with perfect packing and round to the nearest whole number. Note: Perfect packing is not achievable.
Number of quarters=208,197.65 cm³/0.80893 cm³=257,374.1238=257,374
Step 4: Find the dollar value of the theoretical maximum number of quarters with perfect packing
Value of the quarters=257,374 quarters * ($0.25/quarter)=$64,343.50
Step 5: Determine the packing efficiency of quarters (75%)
Packing efficiency, also referred to as the packing density or packing fraction, describes how well objects fit in a container. There is an inherent inefficiency in packing coins because they are small round cylinders with a low aspect ratio, which leads to air gaps between coins. For this reason, it is impossible to achieve perfect packing.
For example, pennies have been experimentally shown to have a packing efficiency of 57%. (Citation: Chaikin, Paul M. et al. “Some Observations on the Random Packing of Hard Ellipsoids.” Industrial & Engineering Chemistry Research 45 (2006): 6960-6965.) In contrast, quarters have a higher packing efficiency than in the case of pennies. For this analysis, we will assume that quarters have a 75% packing efficiency.
Step 6: Multiply the theoretical maximum number of quarters with perfect packing found in Step 3 by the 75% packing efficiency found in Step 5 to find the number of quarters that will fit in a 55-gallon drum (193,030 quarters)
Number of quarters=208,197.65 cm³/0.80893 cm³)*75%=(208,197.65 cm³/0.80893 cm³)*(0.75)=193,030.5929=193,030 quarters
Step 7: Find the dollar value of the quarters ($48,257.50)
Value of the quarters=193,030 quarters * ($0.25/quarter)=$48,257.50
Following the math in the steps above, you can quickly calculate the number of quarters in a 55-gallon drum (or other container sizes).
Calculation Summary
To summarize the answers found in the steps above, here is a list of the number of quarters that fit in a 55-gallon drum plus other key variables:
Volume of the 55-gallon drum: 208,197.65 cubic centimeters
Volume of one quarter: 0.80893 cubic centimeters
Theoretical maximum number of quarters (perfect packing): 257,374
Value of the theoretical maximum number of quarters: $64,343.50
Actual packing efficiency: 75%
Number of quarters that fit in a 55-gallon drum: 193,030
Value of the number of quarters that fit in a 55-gallon drum: $48,257.50
What are the measurements of a 55 gallon drum or barrel?
The measurements of a 55-gallon drum or barrel are as follows:
Diameter: 20.50 inches
Height: 34.70 inches
55-gallon drums are used for various purposes, such as storing and transporting bulk liquids and solids.
What are the dimensions of a quarter?
A quarter is a coin that is worth one-fourth of a dollar. The dimensions of a quarter are 0.955 inches (24.26 mm) in diameter and 0.068 inches (1.75 mm) in thickness. There are also half-dollar coins and dollar coins, which have different dimensions.
How much does a quarter coin weigh?
All quarters made since 1965 weigh precisely 5.670 grams, which is equal to 0.2 ounces.
How much does a 55 gallon drum weigh?
An empty 55-gallon drum weighs 48 pounds. When filled with 193,030 quarters, a 55-gallon drum weighs 2460.875 pounds, which is equivalent to 1116.234 kilograms or 1.23 US tons.
To calculate the weight in pounds of a 55-gallon drum filled with quarters yourself, follow these steps:
Step 1: Calculate the weight of 193,030 quarters in ounces.
193,030 quarters x 0.2 quarters per ounce = 38,606 ounces
Step 2: Convert the weight from ounces to pounds.
38606 ounces x 1 pound per 16 ounces = 2412.875 pounds
Step 3: Add the weight of the empty drum to the weight of the quarters to find the answer.
48 pounds + 2412.875 pounds = 2460.875 pounds
How much do 193,030 quarters weigh?
193,030 quarters, the number of quarters that fit in a 55-gallon drum, weighs 2412.875 pounds.
How many quarters fit in a 5 gallon bucket?
17,548 quarters worth $4,387 fit in a 5-gallon bucket. Note: This answer assumes a 75% packing efficiency, which we discussed earlier in this article.
Use our conversion calculator at the top of the article to find the answer yourself.
How many quarters will fit in a gallon jar?
3,509 quarters worth $877.25 will fit in a one-gallon jar.
If you want to find the answer yourself, use the conversion calculator at the beginning of this article.
How many quarters will fit in a quart jar?
877 quarters worth $219.25 will fit in a quart jar.
To solve the question yourself, enter 0.25 gallons (1 quart=0.25 gallons) into our conversion calculator.
How many quarters fit in a pint jar?
438 quarters worth $109.50 fit in a pint jar.
To answer this question yourself, type in 0.125 gallons (1 pint=0.125 gallons) in the conversion calculator at the top of this page.
How much money is a quarter worth?
A quarter is a coin that is worth 25 cents or one-fourth of a dollar. The U.S. Mint began producing quarters in 1796, and they are still being made today.
What are quarters made from?
Quarters are mostly made of copper but also contain nickel. To be precise, modern-day American quarters are 91.67% copper and 8.33% nickel. It wasn’t always this way, though! Before 1965, quarters were 90% silver and 10% copper. What has stayed the same is that every quarter is still worth precisely 25 cents.
Do banks give out quarter rolls?
Most banks will give quarter rolls to customers with a bank account. Quarter rolls are rolls that contain 40 quarters worth $10.
Which would you prefer: Half a barrel of dimes or a barrel of nickels?
You would prefer a half barrel of dimes to a barrel of nickels because half a barrel of dimes is worth more than a barrel of nickels.
This is because the diameter and thickness of a dime are smaller than the diameter and thickness of a nickel. A dime has a diameter of 0.705 inches and a thickness of 1.75 mm. In comparison, a nickel has a diameter of 0.835 inches and a thickness of 1.95 mm. This means that more dimes would fit in a half barrel than nickels.
Since dimes are worth two times as much as nickels and dimes are smaller than nickels, a half barrel of dimes is worth more than a barrel of nickels.
Conclusion
In conclusion, 193,030 quarters worth $48,257.50 will fit in a 55-gallon drum.
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