How many jelly beans in 64 oz jar?

How Many Jelly Beans in a 64 oz Jar?

Have you ever wondered how many jelly beans can fit in a 64 oz jar? It’s a question that has puzzled many jelly bean enthusiasts and curious individuals alike. In this article, we’ll delve into the world of jelly beans and explore the answer to this question.

What is a 64 oz Jar?

Before we dive into the calculation, let’s take a closer look at what a 64 oz jar is. An oz (ounce) is a unit of measurement that is equal to 1/16 of a pound or 0.0625 pounds. Therefore, a 64 oz jar is equivalent to 4 pounds or 1791.8 grams.

How Many Jelly Beans Fit in a 64 oz Jar?

Now that we know what a 64 oz jar is, let’s calculate how many jelly beans can fit in it. The size and shape of jelly beans can vary greatly depending on the manufacturer and type of jelly bean. For the purpose of this calculation, we’ll use a standard jelly bean that is approximately 0.25 inches (6.35 mm) in diameter and 0.375 inches (9.53 mm) in length.

Calculating the Volume of a Single Jelly Bean

To calculate the volume of a single jelly bean, we need to calculate its volume in cubic inches (cu in). The formula to calculate the volume of a cylinder (such as a jelly bean) is:

Volume (cu in) = π * Radius^2 * Height

Where:

• π (pi) is approximately 3.14
• Radius is the radius of the jelly bean, which is half the diameter (0.125 inches or 3.18 mm)
• Height is the length of the jelly bean (0.375 inches or 9.53 mm)

Plugging in the values, we get:

Volume (cu in) = 3.14 * (0.125)^2 * 0.375 = 0.1534 cu in

Converting Volume to Cubic Centimeters

To convert the volume from cubic inches to cubic centimeters, we can multiply the volume in cu in by 16.39 (since 1 cu in is equivalent to 16.39 cm³). This gives us:

Volume (cm³) = 0.1534 cu in * 16.39 = 2.517 cm³

Calculating the Number of Jelly Beans

Now that we have the volume of a single jelly bean, we can calculate the number of jelly beans that can fit in a 64 oz jar. We’ll use the following steps:

1. Convert the volume of the 64 oz jar from ounces to cubic centimeters. There are 236.6 cubic centimeters in 64 oz. So, the volume of the jar is:

Volume (jar) = 236.6 cm³

1. Divide the volume of the jar by the volume of a single jelly bean to get the number of jelly beans:

Number of jelly beans = Volume (jar) / Volume (jelly bean) = 236.6 cm³ / 2.517 cm³ ≈ 27,441

Conclusion

To summarize, there are approximately 27,441 jelly beans that can fit in a 64 oz jar. This calculation is based on the size and shape of a standard jelly bean, and the volume of the jar. Keep in mind that actual jelly beans may vary in size and shape, which can affect the number of jelly beans that can fit in the jar.

Factors that Affect the Number of Jelly Beans

While we’ve calculated the number of jelly beans that can fit in a 64 oz jar, there are several factors that can affect the actual number of jelly beans that can be stored in the jar. These factors include:

• Jelly bean size and shape: As mentioned earlier, the size and shape of jelly beans can vary greatly, which can affect the number of jelly beans that can fit in the jar.
• Jelly bean density: The density of jelly beans can also affect the number of jelly beans that can fit in the jar. For example, if the jelly beans are packed tightly together, more jelly beans can fit in the jar.
• Jelly bean orientation: The orientation of the jelly beans in the jar can also affect the number of jelly beans that can fit. For example, if the jelly beans are stacked vertically, more jelly beans can fit in the jar than if they are stacked horizontally.

Table: Jelly Bean Capacity by Jar Size

Conclusion

In conclusion, the number of jelly beans that can fit in a 64 oz jar is approximately 27,441. However, actual jelly beans may vary in size and shape, which can affect the number of jelly beans that can fit in the jar. By considering the factors that affect the number of jelly beans, you can get a better understanding of how many jelly beans can fit in different jar sizes.