SHAR VA UNING BO'LAKLARI HAJMI

Authors

  • Bekmuratova Gulbaxar Davletovna Nukus 1-sonli politexnikum matematika fan oqituvchisi Author

Keywords:

Shar, hajm, segment, shapaloq, geometrik formula, integral, Archimedes, matematika, hajmni hisoblash, geometrik jism.

Abstract

Ushbu maqolada geometrik jismlar ichida muhim o‘rin tutuvchi shar va uning bo‘laklari – ayniqsa, shapaloq va segment hajmlarini hisoblash formulalari tahlil qilinadi. Shar hajmini aniqlashda klassik formulalar, tarixiy matematik asoslar, integral usullari va zamonaviy yondashuvlar ko‘rib chiqiladi. Segmentlar hajmi turli formulalar orqali misollar bilan izohlanadi. Maqolada, shuningdek, shar hajmining amaliy sohalardagi qo‘llanilishi ham yoritiladi. Tadqiqot matematik hisob-kitoblar bilan boyitilgan bo‘lib, ilmiy va amaliy muammolarni hal qilishda qo‘llanishi mumkin.

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References

Stewart J. Calculus. – Cengage Learning, 2015. – 1368 b.

Archimedes. On the Sphere and Cylinder. – Classical Mathematics Library, 2002.

Niyazov A. Geometriya asoslari. – Toshkent: O‘qituvchi, 2018. – 224 b.

Mathalino. Volume of Spherical Segment. – 2022. – [Elektron manba] – Rejim kirish: https://www.mathalino.com

Cuemath. Volume of Spherical Sector. – 2023. – [Elektron manba] – Rejim kirish: https://www.cuemath.com/geometry/volume-of-spherical-sector/

Wikipedia. Spherical zone. – 2024. – [Elektron manba] – Rejim kirish: https://en.wikipedia.org/wiki/Spherical_zone

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Published

2025-07-01