Day 126 – The Volume of a Coke Bottle

All the examples I used for Volumes of Revolution were real objects, but the answers to the integrals didn't really mean anything, so today we tried to use these integrals to find the volume if a coke bottle. I gave them the functions fitting the side of the bottle and they did the calculations, which come out to around 350 mL (instead of the actual 330 mL). It was awesome to have students at the end ask “how did you do that?” So I showed them the process of putting the picture into GeoGebra and fitting the functions, which was a great prelude to the two final projects that we will do in the class!

 

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