# Floating Bowling Balls

## The bowling ball science experiment that has everyone wondering.

We all know that certain things float in water while other things sink, but why? Do all heavy things sink? Why does a penny sink and an aircraft carrier float? Think you know the answers? Well, get ready for a few amazing surprises.

### Materials

• The next time you’re at the bowling alley, sneak in an aquarium filled with water under your coat. Too risky? Okay, just collect a few bowling balls of various weights (you need a bowling ball less than 12 pounds, and one weighing 12 pounds or more). You might want to ask your local bowling alley if they are throwing away any old bowling balls that you might be able to use for your experiment.
• Large aquarium or bathtub filled with water
1. Fill the aquarium 3/4 full with water.
2. Carefully place (do not drop) one bowling ball in the water. Does it float or sink? Repeat this experiment, noting the weight of each bowling ball, until every ball has taken the plunge.
3. What did you discover? It seems that anything heavier than 12 pounds will sink, but bowling balls less than 12 pounds float. Amazing!

### Observations

Don’t limit your curiosity to bowling balls alone. Try to float anything. Will a bottle of ketchup float or sink? Will a rubber chicken float or sink? How about an orange? Here’s something strange . . . an unpeeled orange floats but a peeled orange sinks. Hmmm, any guesses? Tiny pockets of air are trapped in the orange rind making the unpeeled orange float in water. This game is a great way for you to practice formulating a hypothesis, testing a theory, and using what you know (or don’t yet know) about density to determine why an object floats or sinks, just like a real scientist.

### How does it work?

Note: It’s important that we work in metric units as we make the necessary density calculations to fully understand the science. Pull out your calculators and sharpen up your math skills.

If you’ve ever been bowling you know that bowling balls range from about 8 to 16 pounds. However, did you know that all regulation bowling balls are the same size? According to official bowling rules from the Professional Bowlers Association,

“The circumference of a ball shall not be more than 27.002 inches nor less than 26.704 inches, nor shall it weigh more than 16 pounds (no minimum weight).”

You could measure the circumference of each of your bowling balls by wrapping a piece of string around the ball at its widest part and marking the circumference on the string. Based on what we know from the Professional Bowlers Association, your measurement should be 27 inches, so that’s the number we’ll use for all of our calculations.

Since we’re doing science, it’s necessary to convert inches to centimeters using the conversion factor of 1 inch = 2.54 centimeters (cm).

So, the circumference of the bowling ball in centimeters is . . .

27 inches x 2.54 cm/inch = 68.58 cm

Next, we need to find the radius of the bowling ball. Again, you could use a string and a ruler to make your measurement, or you can use the formula for finding the circumference of a sphere to determine the radius. Remember that ? = 3.14. Here’s the formula . . .

circumference = 2 * ?* radius

When you solve this equation for the radius, you’ll arrive at 10.92 cm.

Now that you know the radius, you can determine the volume using this equation . . .

volume = 4/3 * ?* radius3
volume = 4/3 * 3.14 * (10.92 cm)3
volume = 5,451.75 cubic centimeters (cm3)

Of course, the keen observer will never fail to point out the fact that there are holes in the bowling ball for your fingers. Again, you could jump through some hoops to determine the volume of the holes, but it’s fair to say the holes do not affect the overall density of the bowling balls enough to change the demonstration. So, we’ll go with the magic number of 5,452 cm3 (yes, we rounded up to simplify the calculations).

As soon as you know the volume of the bowling ball, you can easily calculate the ball’s density by dividing the weight of the ball (in grams) by the volume (5,452 cm3).

To convert the weight of the ball from pounds to grams, use the conversion of 1 pound = 453.6 grams (but we’ll round up to 454 grams). Here’s a table with the converted weights of bowling balls . . .

Bowling Ball Weight in Pounds Converted to Grams
8 pounds 3,632 grams
9 pounds 4,086 grams
10 pounds 4,540 grams
11 pounds 4,994 grams
12 pounds 5,448 grams
13 pounds 5,902 grams
14 pounds 6,356 grams
15 pounds 6,810 grams
16 pounds 7,264 grams

Now it’s easy to calculate the density of each of these bowling balls. Simply divide the weight of the ball in grams by the volume of the ball in cubic centimeters . For example, here’s how to calculate the density of an 8-pound (3,632 gram) bowling ball . . .

density = mass / volume
density = 3,632 grams / 5,452 cm3  = 0.67 g/cm3

It’s no wonder that an 8-pound bowling ball easily floats in water. The density of water is 1.0 g/cm3 so the 8-pound bowling ball floats because it is less dense than the water (.67 < 1.0). The chart below shows the calculated density of each size bowling ball, and you can see at what weight the bowling balls between to sink (their density is greater than that of water at 1.0 g/cm3):

Bowling Ball
Weight in Pounds
Converted from
Pounds to Grams
Density
Weight / 5,452 cm3
8 pounds 3,632 grams 0.67 g/cm3
9 pounds 4,086 grams 0.75 g/cm3
10 pounds 4,540 grams 0.83 g/cm3
11 pounds 4,994 grams 0.92 g/cm3
12 pounds 5,448 grams 0.99 g/cm3
13 pounds 5,902 grams 1.08 g/cm3
14 pounds 6,356 grams 1.17 g/cm3
15 pounds 6,810 grams 1.25 g/cm3
16 pounds 7,264 grams 1.33 g/cm3

If the calculation is correct, a 12-pound bowling ball should just barely float in the water-filled aquarium.

If I lost you somewhere in the midst of all of these numbers, here’s the synopsis . . . Any bowling ball that weighs more than 12 pounds will sink in water, and any bowling ball that weighs less than 12 pounds will float.

If that wasn’t enough, there’s something else to consider. Archimedes’ Principle states that the buoyant force exerted on a fluid is equal to the weight of the fluid displaced. So, when an object is placed in water it will displace its weight in water. The 8-pound ball displaces 8 pounds of water. However, the ball also takes up more volume than 8 pounds of water, so it floats.

The same principle holds true for the question posed at the beginning of the activity: Why does an aircraft carrier float even though it’s made of steel? If you consider steel has a density of 8.05 g/cm3, shouldn’t it sink? The ability of the ship to float is not entirely based on the material from which it is made. A ship is built in such a way that it encloses large amounts of open space, and this contributes to the overall density of the ship. According to Archimedes, the ship displaces its weight in water, but because of the way the ship is constructed, it takes up more space than the volume of the water it displaces . . . and it floats.

 Bowling Party Diana Matthews    -  May 23, 2010 This user gave 5/5 stars I thought I should pass on the funny thing that happened at my son's bowling party last weekend... I asked our hostess if bowling balls float or sink :) She said "Well wouldn't they sink?" I then told her the mystery of the floating/sinking balls. She immediately goes to tell the long time owner and bowling aficionado . Together they go to the back room in disbelief and fill their sink with water, only to see the truth. I said I should get my bowling party for free now that I armed them with useful bowling trivia, AND she comped two of my bowlers!! YIPPEE!! Thanks for the useful tip.

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