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 Basketball?
In this article, we will tell you exactly how many golf balls fit in a Basketball.
How Many Golf Balls Fit In A Basketball?
You could fit 133 golf balls in a standard sized Basketball, assuming you fill the Basketball with efficient packing of golf balls, such as with a cannonball arrangement. In other words, you could fit a little over 100 golf balls in a Basketball.
Golf balls are tiny, and Basketballs are bigger, so we already know we should be able to fit at least 10 golf balls, but less than 1000.
This means that if we end up with a tiny number of balls, say under 10, then there must be a mistake. This also means that if we end up with a huge number of balls, say 10,000, then there must be a mistake.
To calculate how many golf balls can fit in a Basketball, we will make the following assumptions:
-We are filling a standard-sized Basketball.
-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 Basketball we are filling with golf balls. There is data available with standard Basketball dimensions, and we can calculate the volume from those dimensions:
Basketball Diameter = 9.50 inches
Basketball Radius = 9.50/2 = 4.75 inches
Basketball Volume = (4/3)*pi*radius^3 = (4/3)*pi*(4.75)^3 = 448.92 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 Basketball:
Number of golf balls = (Basketball Volume*packing coefficient) / (golf ball volume)
Number of golf balls = (448.92*0.74)/2.483
Number of golf balls = 133.8 = 133 full golf balls
We obtain the result of 133.8 golf balls being able to fit in a Basketball, but we need to round down to 133 since we do not want to cut the golf balls.
In the end, you can fit 133 golf balls in a Basketball. In other words, you could fit a little over 100 golf balls in a Basketball.
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There you go! After reading this article, you now know how many golf balls fit in a Basketball.
It is a big number that may 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!