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Sample Math Investigation Report

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Introduction My mathematics exploration is about estimating the volume of a strawberry from a quarter of a strawberry using integration. There are two main methods for calculating area and this includes the Washer method and the Disc method, but in this investigation the disc method would be used as it is based on the assumption that the strawberry is a solid rather than hollow. Rationale In the beginning I’ve think of doing my investigation based on modelling. However, modelling is a very common topic for math investigations, therefore it might not be so challenging and worth to investigate on. While I look around my math textbook to seek for other related topic that are more intriguing and challenging, I was inspired by the idea of finding the volume of a donut when I reach the chapter of Solid of Revolution under the calculus unit. After doing some research I know that the knowledge of Solid of Revolution enables me to find the volume of any object with circular sections by rotating it with the x-axis. In my years of learning math, it always gives me an impression of being not so applicable in real life. Therefore, when I notice that the knowledge of the solid of revolution enables me to find the volume of any object with circular …show more content…

But while studying the chapter, I realize that questions or examples we see in the textbook are always non-practical images being rotated. Therefore, as it only shows example of object that we would not see in real life such as a triangular shape being rotated to become a cone or a rectangular shape being rotated to a cylinder, therefore this inspired me to test whether the method learn in the chapter - Solid of revolution could really be applied in real life, as the goal of solid of revolution is to find the volume of any three-dimension shape with circular section such as a donut, therefore it should work for any object that have a circular

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