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 Bathtub?
In this article, we will tell you exactly how many golf balls fit in a Bathtub.
How Many Golf Balls Fit In A Bathtub?
You could fit 8046 golf balls in a standard sized Bathtub, assuming you fill the Bathtub with efficient packing of golf balls, such as with a cannonball arrangement. In other words, you could fit a little over 8000 golf balls in a Bathtub.
Golf balls are tiny, and Bathtubs are much larger, so we already know we should be able to fit at least 500 golf balls, but less than 1,000,000.
This means that if we end up with a tiny number of balls, say under 500, then there must be a mistake. This also means that if we end up with a huge number of balls, say 1,000,000, then there must be a mistake.
To calculate how many golf balls can fit in a Bathtub, we will make the following assumptions:
-We are filling up a standard-sized Bathtub with golf balls, until we top it off.
-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 Bathtub we are filling with golf balls. There is data available with standard Bathtub dimensions from which we can calculate the Bathtub volume:
Bathtub Dimensions: 60 inches x 30 inches x 15 inches
Bathtub Volume = 60*30*15 = 27,000 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 Bathtub:
Number of golf balls = (Bathtub Volume*packing coefficient) / (golf ball volume)
Number of golf balls = (27,000*0.74)/2.483
Number of golf balls = 8046.72 = 8046 full golf balls
We obtain the result of 8046.72 golf balls being able to fit in a Bathtub, but we need to round down to 8046 since we do not want to cut the golf balls.
In the end, you can fit 8046 golf balls in a Bathtub. In other words, you could fit a little over 8000 golf balls in a Bathtub.
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There you go! After reading this article, you now know how many golf balls fit in a Bathtub.
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!