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# Imagine a six-pound bowling ball. That's generally the lightest you'll find in a bowling alley.  Also imagine

six pounds of feathers.  Your average feathered bedroom pillow weighs about 2 pounds, so imagine three pillows in a stack. You now have six pounds of bowling ball and six pounds of feathers.  If you were to take each and throw them into a swimming pool, you would expect the bowling ball to sink and the feathers to float, but why?

First, let's figure out their volume.

A bowling ball has a radius of 4.25 in, which converts to 10.8 cm.  Using the formula to find the volume of a sphere:

https://www.mathopenref.com/spherevolume.html (Links to an external site.)

The result is 322 cm3.  Next, the standard size for a bedroom pillow is 26 in x 20 in x 4 in.  When we convert to centimeters, our stacked pillows are 66 cm x 51 cm x 10 cm.  The volume is then 33,660 cm3.

We already know the mass of each object (six pounds), but remember that mass in this formula is measured in grams.  You'll first need to convert six pounds to grams.  One pound converts to 453.6 g.  Round your calculation to the nearest full gram and write it down.

Now use the density formula to calculate the density of each object.  Round your answers to the nearest one-tenth of a gram (one decimal place).

Bowling Ball: 0.1 g/cm3

Feathers: 8.5 g/cm3

Bowling Ball: 8.5 g/cm3

Feathers: 0.1 g/cm3

Bowling Ball: 0.1 lb/in3

Feathers: 8.5 lb/in3

Bowling Ball: 8.5 g/in3

Feathers: 0.1 g/in3

Answer: Bowling Ball: 8.5g/cm 3 Feathers: 0.1g/cm 3 The bowling ball will sink because it has higher density that... View the full answer

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