How Many Quarters Fit In a 2 Gallon Jug? (Answer, How Much Money In Dollars, and Conversion Calculator)
Table of Contents
7,019 quarters worth $1,754.75 fit in a 2 gallon jug. In this article, we explain how to calculate how many quarters fill a two gallon jug and what they’re worth. We also have a free online conversion calculator that will answer how many quarters a two gallon jug holds or other container sizes.
Please continue reading to try our conversion calculator and learn how to make the conversion yourself.
Conversion Calculator: Convert 2 gallon jug to quarters
Our conversion calculator shows that 7,019 quarters worth $1,754.75 fit in 2 gallon jug, jar, bucket, or bottle.
To convert different container sizes, enter the container size in gallons. 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 you can achieve.
How much money is 2 gallon of quarters worth? ($1,754.75 dollars)
Two gallons of quarters is worth $1,754.75.
How to calculate how many quarters fit in a 2 gallon jug
In this section, we explain how to calculate how many quarters fit in a 2 gallon water jug and summarize what we found.
Calculation Summary
To summarize the answers found in the steps above, here is a list of the number of quarters that fit in a gallon jug plus other key variables:
Volume of a 2 gallon jug : 7,570.823568 cubic centimeters
Volume of one quarter: 0.80893 cubic centimeters
Theoretical maximum number of quarters (perfect packing): 9,359 quarters
Value of the theoretical maximum number of quarters (100% perfect packing efficiency): 2,339.75
Actual packing efficiency: 75%
Number of quarters that fit in a 2 gallon jug: 7,019 quarters
Value of the number of quarters that fit in a 2 gallon jug: $1,754.75
Calculation Steps
To calculate the number of quarters that fit in a 2 gallon water jug, follow these steps:
Step 1: Calculate the volume of the jug (7,570.823568 cubic centimeters)
A two gallon jug full of quarters is a cylinder with a volume of 2 gallons, 7.57082 liters, 0.00757082 cubic meters, 462 cubic inches, 7,570.823568 cubic centimeters, or 7,570,823.6 cubic millimeters.
Step 2: Calculate the volume of 1 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 jug by the volume of a quarter to find the theoretical maximum number of quarters with perfect packing. Then round down to the nearest whole number. Note: Perfect packing is not achievable.
Number of quarters=7,570.823568 cm³/0.80893 cm³=9,359.05896431=9,359 quarters
Step 4: Find the dollar value of the theoretical maximum number of quarters with perfect packing
Value of the quarters=9,359 quarters * ($0.25/quarter)=$2,339.75
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 a loss of volume to dead space. For this reason, it is impossible to achieve perfect packing.
For example, pennies have been experimentally shown to have a packing efficiency of 57%. 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 perfectly packed number of quarters found in Step 3 by the 75% packing efficiency found in Step 5 to find the number of quarters that will fit in a 2 gallon jug (7,019 quarters)
Number of quarters=7,570.823568 cm³/0.80893 cm³)*75%=(7,570.823568 cm³/0.80893 cm³)*(0.75)=7019.29422323=7,019 quarters
Step 7: Find the dollar value of the quarters ($1,754.75)
Value of the quarters=7,019 quarters * ($0.25/quarter)=$1,754.75
Following the math in the steps above, you can quickly calculate the number of quarters in a 2 gallon bucket full of coins (or other container sizes).
How much do 7,019 quarters weigh?
7,019 quarters, the number of quarters that fit in a 2 gallon water jug, weighs 87.7375 pounds (39.7971 kilograms).
How many quarters fit into a 1 gallon jug?
3,509 quarters worth $877.25 fit into a one gallon jug.
To calculate the answer yourself, enter 1 gallon into our conversion calculator. The calculator will give you the answer and tell you how much they’re worth in dollars.
How many quarters fit in a half-gallon jug?
1,754 quarters worth $438.50 fit in a half-gallon jug.
To solve the question yourself, input 0.5 gallons (half-gallon=0.5 gallons) into our conversion calculator at the top of the page. The calculator will tell you how many quarters are in a half-gallon jug and how much they’re worth.
How many quarters will fit in a 5 gallon water jug?
17,548 quarters worth $4,387 will fit in a 5 gallon water jug. The same number of quarters fit in a 5 gallon bucket from Home Depot.
If you want to find the answer to the question yourself, use the conversion calculator at the top of the page.
How many quarters can you fit in a 55 gallon drum?
193,030 quarters worth $48,257.50 will fit in a 55-gallon drum.
To solve the question yourself, enter 55 gallons into our conversion calculator at the beginning of the 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 much does a quarter coin weigh?
All quarters made since 1965 weigh precisely 5.670 grams, which is equal to 0.2 ounces.
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 money is 1 quarter worth? (25 cents)
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 are still being made today.
How much money is a quarter worth?
A quarter is a coin that is worth 25 cents or one-fourth of a dollar.
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 hasn’t changed is that every quarter is still worth precisely 25 cents.
What is a penny, nickel, dime, and quarter?
A penny is a small coin made of copper that is worth 1 cent. A nickel is a coin worth 5 cents. A dime is a coin worth 10 cents. A quarter is a coin worth 25 cents.
If you add a penny, nickel, dime, and quarter together, you have 41 cents.
Conclusion
In conclusion, 7,019 quarters worth $1,754.75 will fit in a 2 gallon jug.
Every effort was made to ensure the accuracy of the information in this article and converter. However, we cannot guarantee that it is free of errors or omissions. Neither this website nor its authors are responsible for any resulting damages or monetary losses. Use is at your own risk.