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# Finding the Volume of Plastic Used in a Plastic Bottle

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## Matt Hecker

on 1 June 2014

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#### Transcript of Finding the Volume of Plastic Used in a Plastic Bottle

Finding the Volume of Plastic Used in a Plastic Bottle
The Problem
Solution
Calculations
How will we create these statistics?
Sections 1-4 = thin
Sections 5-8 = thick
By finding the volume of PET plastic used in each bottle
To find Volume:
Step 1: Find surface area of bottle
Step 2: Scale graphical SA to actual SA
Step 3: SA * thickness of plastic
Widespread use of disposable plastic water bottles in the US
Plastic bottles are made of PET
1000 years to decompose
14% of bottles recycled in the US
Use non-disposable bottles
Nalgene
Encourage the introduction of legislation to limit the amount of PET consumed
create shocking statistics
Used GeoGebra to fit six functions to a picture of the bottle
A little problem...
Thin Section's SA=194.9495 units^2
Thick Section's SA=15.4174 units^2
Each SA calculated separately to account for different thicknesses later
Scaling the bottle
SA of bottle on GeoGebra≠SA of actual bottle
Found two actual (circular) areas, then averaged to get: 1.800 cm^2/units^2
Thin Section's SA=350.9091 cm^2
Thick Section's SA=27.7513 cm^2
Total Volume
Thin Section's Volume:
(350.9091 cm^2)(.32 mm)=11.2291 cm^3
Thick Section's Volume:
(27.7513 cm^2)(3 mm)=8.3254 cm^3
Total Volume= 19.5545 cm^3
Applications
Average American uses 3285.1560 cm^3 of PET per year
US uses about 1 million m^3 PET per year
100 m sided cube
US uses .0331 m^3 PET per second
8.2321 years to fill Elk Lake with the PET used in plastic bottles consumed by Americans