How Many Quarters Fit In a 5 Gallon Water Jug? (Answer, Value In Dollars, and Coin Converter)
We have the answer if you’re wondering how many quarters would fit in a 5 gallon water jug. Assuming 75% packing efficiency, 17,548 quarters worth $4,387 would fit in a 5 gallon water jug. In this article, we explain how to calculate how many quarters fill a 5 gallon water jug and what they’re worth. We also have a free online conversion calculator that will answer how many quarters a 5 gallon water bottle holds or other container sizes.
Please continue reading to try our conversion calculator and learn how to make the conversion yourself.
Conversion Calculator: Convert 5 gallon water jug to quarters
Our conversion calculator shows that 17,548 quarters worth $4,387 fit in a 5 gallon water jug.
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 you can achieve.
How to calculate how many quarters can fit in a 5 gallon jug hold
In this section, we explain how to calculate how many quarters can fit in a 5 gallon water jug. After showing you how to find the answer, we then summarize what we found.
To calculate the number of quarters that fit in a 5 gallon water jug, follow these steps:
Step 1: Calculate the volume of the jug (18,927.06 cubic centimeters)
A five gallon water jug is a cylinder with a volume of 5 gallons, 18.9271 liters, 0.0189271 cubic meters, 1155 cubic inches, 18,927.06 cubic centimeters, or 18,927,058.9 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 water 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=18,927.06 cm³/0.80893 cm³=23,397.6487=23,397
Step 4: Find the dollar value of the theoretical maximum number of quarters with perfect packing
Value of the quarters=23,397 quarters * ($0.25/quarter)=$5,849.25
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 5 gallon jug (17,548 quarters)
Number of quarters=18,927.06 cm³/0.80893 cm³)*75%=(18,927.06 cm³/0.80893 cm³)*(0.75)=17,548.2366=17,548 quarters
Step 7: Find the dollar value of the quarters ($4,387)
Value of the quarters=17,548 quarters * ($0.25/quarter)=$4,387
Following the math in the steps above, you can quickly calculate the number of quarters in a 5 gallon bucket full of coins (or other container sizes).
To summarize the answers found in the steps above, here is a list of the number of quarters that fit in a 5 gallon water jug plus other key variables:
Volume of the 5 gallon water jug: 18,927.06 cubic centimeters
Volume of one quarter: 0.80893 cubic centimeters
Theoretical maximum number of quarters (perfect packing): 23,397
Value of the theoretical maximum number of quarters: $5,849.25
Actual packing efficiency: 75%
Number of quarters that fit in a 5 gallon water jug: 17,548
Value of the number of quarters that fit in a 5 gallon water jug: $4,387
How many dollars does a 5 gallon bucket full of quarters hold?
There are 4,387 dollars in a 5 gallon bucket of quarters.
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 do 193,030 quarters weigh?
17,548 quarters, the number of quarters that fit in a 5 gallon water jug, weighs 219.35 pounds (99.495 kilograms).
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 gallon jar?
3,509 quarters worth $877.25 will fit in a 1 gallon jar.
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 fit in a 5 liter water jug?
4,635 quarters worth $1,158.75 will fit in a 5 liter water jug.
To solve the question yourself, enter 1.32086 gallons (5 liters=1.32086 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 many quarters fit in a pint jar?
Assuming 75% packing efficiency, 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 hasn’t changed is that every quarter is still worth precisely 25 cents.
How much is 3 dimes, 2 nickels, and 4 pennies?
3 dimes, 2 nickels, and 4 pennies equal 44 cents, which is the same as $0.44.
How many pennies in a pound?
There are 181 pennies worth $1.81 in a pound.
1 penny equals 2.5 grams and there are 453.592 grams in a pound. Here is the equation to find the number of pennies in a pound:
Pennies=453.592 grams/2.5 grams per penny=181.4368=181 pennies
In conclusion, 17,548 quarters worth $4,387 will fit in a 5 gallon water 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.