Integrals within 3D-Printing

by Dhruv Patel

Submitted : Spring 2018

Calculating the volume of a cross sectional object is an important application derived from calculus, as it can be used to approximate volumes of objects that range from those used in the industry, like piston combustion chambers, to civilian applications, like cell phone holders. With the rise of 3D printers, the ability to create three dimensional objects at home is easier to do now more than ever. There has been a shift in focus in consumers building and using materials/objects to address their everyday needs on site instead of going out and buying them in store. These calculations prove important to the production of these objects. In this implementation, we will be calculating the volume of a hemisphere and testing the dimensions of a circular ceiling lamp cover, using the volume of cross sections techniques, modeling the scenario of a consumer using his resources to create a solution to a problem. In addition to using calculus to produce a volume, simple area formulas are needed to be known as well.

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