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All Journal Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Klara Laoli
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Earth & Planetary Sciences Mathematics

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Estimasi Volume Air Waduk Lau Kawar Menggunakan Pendekatan Integral Volume Kulit Tabung Rizka Nabila Damanik; Grace Purba; Klara Laoli; Bobby Delon Togatorop; Windy Suryani; Suvriadi Panggabean
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 3 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i3.483

Abstract

This study aims to estimate the water volume of Lau Kawar Reservoir using the cylindrical shell method of integral calculus. The reservoir is assumed to be a perfect cylinder with a radius of 564 meters and a depth of 8.45 meters. The volume is calculated using both the shell method and the standard analytical formula for cylinders. The result shows a water volume of 8,437,640.45 m³. Both methods produced identical results with an absolute error of 0.00 m³. This proves that the shell method is highly accurate for symmetrical reservoir shapes. The study demonstrates how integral calculus can be applied to real-world problems in hydrology.
Co-Authors Bobby Delon Togatorop Grace Purba Rizka Nabila Damanik Suvriadi Panggabean Windy Suryani