How many marbles are in a jar?

  • MHB
  • Thread starter Max CR
  • Start date
In summary, to estimate the number of marbles in a jar, the "random sampling" method can be used. The size of the marbles can affect the estimate, as larger marbles take up more space. There are more accurate methods, such as measuring the volume of the marbles and jar, but the shape of the jar can also affect the estimate. Other factors to consider include the density of the marbles, humidity, and the counting method used.
  • #1
Max CR
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How many marbles are in a jar?

There are about 167 marbles in a jar.

Volume of sphere (marbles) = (4/3)πr^3
r = (4/3)π(0.25)^3
volume of sphere/marble = 0.0654 inches

Volume of cylinder (glass) = v=πr^2h
v=π(1.625)^2*2.80
volume of cylinder/glass = 23.23 inches

It is a given that the glass is 74% filled and 26% empty due to space in between the marbles.

Number of marbles = (jar volume * 0.74)/volume of one marble
= (23.23*0.74)/0.0654
= 262 marbles
Math says that there is 262 marbles when it is actually 167 marbles. Any ideas?
 
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  • #2
I have figured out the problem. Thank you.
 

What is the purpose of determining how many marbles are in a jar?

Determining the number of marbles in a jar can be useful for various reasons, such as estimating the volume of the jar, calculating the cost of the marbles, or conducting a probability experiment.

How do I accurately count the number of marbles in a jar?

The most accurate way to count the marbles in a jar is to pour them out onto a flat surface and count them one by one. Alternatively, you can estimate the number by dividing the jar into equal sections and counting the marbles in one section, then multiplying that number by the total number of sections.

What factors can affect the number of marbles in a jar?

The number of marbles in a jar can be affected by various factors, such as the size of the marbles, the size of the jar, and how tightly packed the marbles are in the jar. Additionally, human error in counting or pouring the marbles can also affect the final number.

Is there a mathematical formula for determining the number of marbles in a jar?

There is no specific formula for determining the number of marbles in a jar, as it depends on the size and shape of the marbles and the jar. However, you can use basic math principles such as volume and division to estimate the number of marbles.

Can I use technology to count the number of marbles in a jar?

Yes, there are various technologies that can be used to count the number of marbles in a jar, such as image recognition software or a digital scale. However, these methods may not be as accurate as physically counting the marbles.

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