How many jelly beans in a 2 liter jar

Step 1

Count the number of jelly beans that intersect with a line stretching from the top of the jar to the bottom.

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To make the line, you can stretch a piece of string, lay down a piece of tape or hold up a strip of paper. Count every jelly bean that the line crosses. This is the height of the jar in jelly beans.

Step 2

Count the number of jelly beans that intersect with a line that goes around the jar.

Use the same method as above.

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If you can't reach all the way around the jar, go half way around and multiply by 2. This is the circumference of the jar in jelly beans.

Step 3

Calculate the volume of the jar in jelly beans using the following formula:

\(\text{volume}=\frac{(\text{circumference})^2\times \text{ height}}{4\pi}\)

Step 4

Round to the nearest jelly bean unless you think there might be broken pieces in the jar.

Beans in a Box

You can use the same technique to calculate the number of jellybeans in a see-through rectangular or square box.

To calculate the volume

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