IB Math SL IA

소개

본 문서는 2019년 May Session에서 IA 6점을 받은 Math SL IA입니다.
주제는 'Calculating the volume of the Coca Cola bottle using simultaneous equations and integration'입니다.

목차

1. Introduction

2. Use of Mathematics
1) How to find a polynomial equation using simultaneous equations
2) Solid of Revolution

3. Methodology
1) Calculating the volume of the Coca Cola bottle using geometric shapes and integration
2) Calculating the volume of the Coca Cola bottle using simultaneous equations and integration

4. Conclusion

본문내용

This investigation aims to calculate the volume of the Coca-Cola bottle. My inspiration for this investigation arose after studying the depths of geometry and calculus. I was intrigued by the method of measuring the volume of an irregular geometric shape using solid of revolution. In looking around for an area of research, I tried to apply what I learnt in my classes to an object used in day to day life. I have seen many objects with varied geometric shapes but I was interested by the unique contour shape of the Coca-Cola bottle. Unlike other simple straight-sided bottles, the Coca-Cola bottle had a body with an outward curving centre and a narrow lid. Since the patent of its design in 1915, Coca- Cola has successfully created a strong image for its brand by offering bottles with iconic curved fluted lines. The unique bottle shape inspired me to investigate how to calculate its volume.

참고자료

· Mathsisfun.com. (2018). Solids of Revolution by Disks and Washers. [online] Available at: https://www.mathsisfun.com/calculus/solids-revolution-disk-washer.html
· History and Applications - Kinematics before Newton, AMSI, amsi.org.au/ESA_Senior_Years/SeniorTopic2/2e/2e_2content_7.html.
· “Solids of Revolution by Disks.” Correlation, www.mathsisfun.com/calculus/solids-revolution-disk-washer.html.