How Many Golf Balls Fit In The Empire State Building?

empire state building

Golf balls are small objects, and there are a lot of big, huge objects in the world.

Sometimes, we get that little itch to learn some random, useless, yet intriguing information. Therefore, you may wonder: How many golf balls fit in the Empire State Building?

In this article, we will tell you exactly how many golf balls fit in the Empire State Building.

How Many Golf Balls Fit In The Empire State Building?

You could fit 19,146,853,146 golf balls in the Empire State Building, assuming you fill the building with efficient packing of golf balls. In other words, you could fit over 19 billion golf balls in the Empire State Building.

Golf balls are tiny, and the Empire State Building is huge, so we already know we will be able to fit many golf balls.

This means that if we end up with a small number of balls, say a couple hundred or thousand, then there must be a mistake.

To calculate how many golf balls can fit in the Empire State Building, we will make the following assumptions:

-We are filling the interior of the Empire State Building with regulation-sized golf balls.

-Golf balls can be packed in cannonball arrangement to save a bit of lost space due to the golf balls not being cubic. The packing coefficient used is 0.74. No golf balls will be cut, deformed, or transformed to save packing space.

With these assumptions clearly defined, we can start by defining the dimensions of a golf ball:

Golf ball diameter = 1.68 inches = 0.14 ft

Golf ball radius = 0.07ft

Volume of a golf ball = (4/3)*pi*r^3 = (4/3)*pi*0.07^3 = 0.00143 cubic ft

Next, we can define the dimensions of the Empire State Building. There is data available with the Empire State Building’s volume:

Empire State Building Volume = 37,000,000 cubic ft

Down below, you can see a quick graphic explaining the packing coefficient used:

packing density

As you can see above, the golf balls can be assembled in cannonball fashion (second arrangement on diagram) when stacked as to save vertical space between the golf balls.

This arrangement of golf balls allows you to save some space that you would otherwise lose if you treated the golf balls as cubes with the same diameter. Golf balls and spheres alike do not occupy the “corners” in a virtual cube with the same diameter as them.

The golf ball cannonball packing coefficient is defined as follows:

Golf ball cannonball packing coefficient = sqrt(2)/2 = 0.74

With all of these elements defined, we can calculate the number of golf balls that we can fit in the Empire State Building:

Number of golf balls = (Empire State Building Volume*packing coefficient) / (golf ball volume)

Number of golf balls = (37,000,000*0.74) / 0.00143

Number of golf balls = 19,146,853,146.85 = 19,146,853,146 full golf balls

We obtain the result of 19,146,853,146.85 golf balls being able to fit in the Empire State Building, but we need to round down to 19,146,853,146 balls since we do not want to cut the golf balls.

In the end, you can fit 19,146,853,146 golf balls in the Empire State Building. In other words, you could fit over 19 billion golf balls in the Empire State Building.

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Conclusion

There you go! After reading this article, you now know how many golf balls fit in the Empire State Building.

It is a huge number that may quite possibly have surprised you. Make your friends guess how many golf balls would fit!

Do you want to know how many golf balls would fit in other objects? Let us know which objects in the comments down below!