What is the perfect amount of water for the perfect bottle flip? | optimizing with math @MathTheWorld
What is the perfect amount of water for the perfect bottle flip? | optimizing with math  @MathTheWorld
Uploaded December 2023 | Updated September 2026, 3 weeks ago
3D printed loaded dice: youtube.com/watch?v=dT0pJzW3C8A

Math The World is dedicated to bringing real world math problems into the classroom and answering the age old question “when will I ever use this?”

This video answers the question “how much water is optimal for bottle flipping?” We use algebra and some calculus to answer this question and show a step by step process of our problem solving / mathematical modeling approach.

We use unique algebra context topics, geometry context topics, trigonometry context topics, and calculus context topics. We go beyond context problems and use a technique called mathematical modeling to find solutions to real world questions and real world problems. These videos are great for students who plan to enter technical fields that require real world problem solving, and can be a great resource for teachers looking for ways to bring real world contexts into their classroom.

Instagram: instagram.com/maththeworld
Twitter/X: twitter.com/math_the_world
Facebook: facebook.com/maththeworldproject
Email: MathTheWorld@byu.edu

Created by Doug Corey

Script: Doug Corey and Jade Gregg
Audio: Doug Corey
Animation: Jade Gregg
Editing: Jennifer Canizales
Music: Coma Media


© 2023 BYU
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What is the perfect amount of water for the perfect bottle flip? | optimizing with math

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