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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
© 2011 by IJCA Journal
Number 1 - Article 7
Year of Publication: 2011
Authors:
Muharrem Aktumen
Serdal Baltaci
Avni Yildiz

Muharrem Aktumen, Serdal Baltaci and Avni Yildiz. Article: 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):42-46, July 2011. Full text available. BibTeX

```@article{key:article,
author = {Muharrem Aktumen and Serdal Baltaci and Avni Yildiz},
title = {Article: Calculating the Surface Area of the Water in A Rolling Cylinder and Visualization as two and three Dimensional by Means of Geogebra},
journal = {International Journal of Computer Applications},
year = {2011},
volume = {25},
number = {1},
pages = {42-46},
month = {July},
note = {Full text available}
}
```

### 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.

### Reference

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