Question:
Imagine a six-pound bowling ball. That's generally the lightest you'll find in a bowling alley. Â Also imagine six pounds of feathers. Â 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. Â Using the formula to find the volume of a sphere:
Note; The result is 322 cm³(= error by calculating in 4.25 cm instead). Â
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. Â
One pound converts to 453.6 g. Â Round your calculation to the nearest full gram and write it down.Now use the density formula to calculate the density of each object. Â Round your answers to the nearest one-tenth of a gram (one decimal place).
Bowling Ball: 0.1 g/cm³Feathers: 8.5 g/cm³ Correct!
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
The correct answer to the question is
b. Bowling Ball: 8.5 g/cm³ Feathers: 0.1 g/cm³.
Explanation:
To solve the question, we note  that both the sphere and the Bowling Ball have a mass of 6 lb which is equal to 2721.554 g
The radius of a bowling ball is 4.25 cm = ‬ 1.67 in which gives its volume as
322 cm³
The mass of the bowling ball 6 lb while
The volume of a feathered pillow = 26 in × 20 in × 4 in  = 2080 in³  = 58899040.911 cm³
The density of the Bowling Ball = mass/volume =  2721.554 g/322 cm³
= 8.452 g/cm³
The density of the feathers = mass/volume
=  2721.554 g/34085 cm³ = 0.0798 g/cm³ which to one decimal place
= 0.1 g/cm³
Therefore the density of the Bowling Ball to the nearest one-tenth
= 8.5 g/cm³   and                    Â
The density of the feathers to the nearest one-tenth = = 0.1 g/cm³