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# How Many Golf Balls Fit In A Football Stadium?

Golf balls are small objects, and there are many bigger objects in the world.

Sometimes, we get that little itch to learn some random, fairly useless, yet intriguing information. Therefore, you may wonder: How many golf balls fit in a Football Stadium?

In this article, we will tell you exactly how many golf balls fit in a Football Stadium.

## How Many Golf Balls Fit In A Football Stadium?

You could fit around 55,313,008,590 golf balls in a Football Stadium, assuming you fill the Football Stadium with efficient packing of golf balls, such as with a cannonball arrangement. In other words, you could fit over 55 billion golf balls in a Football Stadium.

Golf balls are tiny, and Football Stadiums are huge, so we already know we should be able to fit at least 100,000 golf balls, but less than 1,000,000,000,000.

This means that if we end up with a tiny number of balls, say under 50,000, then there must be a mistake. This also means that if we end up with a huge number of balls, say 1,000,000,000,000, then there must be a mistake.

To calculate how many golf balls can fit in a Football Stadium, we will make the following assumptions:

-We are filling a standard-sized Football Stadium, until we top it off up to the highest spectator seats.

-We will model the football stadium seating area along with the football field as a trapezoid to get a good estimation of volume, while saving calculation time.

-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

Golf ball Radius = 1.68/2 = 0.84 inches

Golf Ball Volume = (4/3)*pi*0.84^3 = 2.483 cubic inches

Next, we can define the dimensions of the Football Stadium we are filling with golf balls. There is data available with standard Football Field & Stadium dimensions with which we can find the volume of a trapezoid that models the volume available in a football stadium.

Football Field Dimensions: 150 yards x 65 yards = 5400 inches x 2340 inches

Football Stadium Trapezoid Model Dimensions: 150 yards (small base), 300 yards (large base), 221 yards (width), 20 yards (height)

150 yards = 5400 inches

300 yards = 10800 inches

221 yards = 7956 inches

20 yards = 720 inches

Area of Trapezoid = ((small base + big base)*height)/2 = ((5400+10800)*720)/2

Area of Trapezoid = 23,328,000

Volume of Trapezoid = Area*Width = 23,328,000*7956 = 185,597,568,000 cubic inches

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

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 a Football Stadium:

Number of golf balls = (Football Stadium Volume*packing coefficient) / (golf ball volume)

Number of golf balls = (185,597,568,000*0.74)/2.483

Number of golf balls = 55,313,008,590 golf balls

We obtain the result of 55,313,008,590 golf balls being able to fit in a Football Stadium.

In the end, you can fit around 55,313,008,590 golf balls in a Football Stadium. In other words, you could fit over 55 billion golf balls in a Football Stadium.