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Calculating the Surface Area of the Water in A Rolling Cylinder and Visualization as two and three Dimensional by Means of Geogebra
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 25 - Number 1 |
| Year of Publication: 2011 |
| Authors: Muharrem Aktumen, Serdal Baltaci, Avni Yildiz |
10.5120/3170-4022
|
Muharrem Aktumen, Serdal Baltaci, Avni Yildiz . Calculating the Surface Area of the Water in A Rolling Cylinder and Visualization as two and three Dimensional by Means of Geogebra. International Journal of Computer Applications. 25, 1 ( July 2011), 42-46. DOI=10.5120/3170-4022
Abstract
A real life problem was created in this study and ellipse equations and integral concept were used in the solution of this problem. As a real life problem, the change in the surface area of the water in a cylinder half of which was full of water and situated vertically was examined in a process in which it was tilted until it became parallel to the floor. In the study, piecewise function which gave the surface area of the water for the angle that the floor and the cylinder built was constructed. This process was visualized as two and three dimensional using GeoGebra which is a dynamic mathematics software program. As this problem situation overlaps with the principles of Realistic Mathematics Education approaches, it is believed that it will guide the teachers in classroom activities.
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