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All Journal Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam (JURRIMIPA) Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Kenjo Oktaviano Damanik
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Astronomy Earth & Planetary Sciences Mathematics

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Aplikasi Integral dalam Menghitung Volume dan Panjang Busur pada Design Cone Es Krim Berbentuk Kelopak Bunga Asni Al Amini; Kenjo Oktaviano Damanik; Monica Triyuni Sinaga; Riby Tamara; Zahra Marsanda Mahisa; 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.v3i3.480

Abstract

This study aims to apply integral calculus methods to calculate the volume and arc length of an ice cream cone design shaped like a flower petal. The cone design is modeled using a quadratic function derived from three reference points on the petal curve. Using the solid of revolution method around the y-axis, the calculated petal volume is 150.8 cm³, and the arc length is 7.14 cm. The results demonstrate that calculus-based modeling supports efficient material usage while enhancing aesthetic and functional aspects of packaging. This research highlights the connection between mathematical concepts and practical product design in the food industry
Analisis Perbandingan Model Diskrit dan Kontinu dalam Prediksi Biaya Hidup Mahasiswa Selama Masa Studi Adinda Saputri; Arnah Ritonga; Alya Dwi Lestari; Kenjo Oktaviano Damanik; Riby Tamara
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 2 (2025): Agustus: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i2.7018

Abstract

This study aims to compare the results of student living cost estimates over a four-year study period using two approaches in financial mathematics, namely the discrete model and the continuous model. The background of the study is based on the need for students to manage their personal finances effectively amidst rising living costs due to inflation. The discrete model is used to predict expenses at certain time intervals, while the continuous model assumes that changes in the value of money occur continuously at all times. This study uses a quantitative descriptive-comparative method with controlled simulations on 100 student data with variations in monthly living costs between Rp2,000,000–Rp4,000,000 and a random inflation rate of 0%–20%. The data were analyzed using discrete and continuous growth formulas, then a Paired Sample t-Test was performed to determine significant differences between the two models. The results show that both models produce very similar living cost estimates with an average difference of only about 1–3% of the total four-year costs. The continuous model produces slightly higher results than the discrete model due to its exponential and continuous nature of calculations. However, the statistical test results showed a p-value > 0.05, indicating no statistically significant difference between the two. Practically, both approaches can be used equally in student financial planning, with the discrete model being more appropriate for short-term projections and the continuous model being more appropriate for long-term projections.
Penentuan Kepadatan Tebar Lele yang Optimal Menggunakan Metode Integral Lipat Tiga Alvi Sahrin Nasution; Bobby Putra Delon Togatorop; Kenjo Oktaviano Damanik; Lestari Novianti Sinurat; Monica Triyuni Sinaga; Widya Kartini Pangaribuan
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 6 (2025): Desember : Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i6.883

Abstract

This study aims to determine the ideal stocking density of catfish using the triple integral method. This mathematical method is applied to accurately calculate the volume of the cultivation pond and analyze the stocking amount and biomass projection at three different density levels, namely 50, 75, and 100 fish/m³. The calculation of the volume of the pond measuring 27 m x 11 m x 1.5 m produces a value of 445.5 m³. Based on the integral calculation, the optimal stocking amount is 22,275 fish, 33,413 fish, and 44,550 fish for each density, with the final biomass projection reaching 300.7 kg, 451.1 kg, and 600.4 kg, respectively. The analysis shows that the density of 100 fish/m³ produces the highest biomass, but its application must consider technical factors such as water quality, oxygen availability, and food competition. This method provides a solid and practical mathematical foundation for more efficient, scalable, and sustainable aquaculture planning.
Co-Authors Adinda Saputri Alvi Sahrin Nasution Alya Dwi Lestari Arnah Ritonga Asni Al Amini Bobby Putra Delon Togatorop Lestari Novianti Sinurat Monica Triyuni Sinaga Riby Tamara Suvriadi Panggabean Widya kartini pangaribuan Zahra Marsanda Mahisa