SIMPLIFICATION OF ENGINEERING CALCULATIONS FOR ROTATIONAL BODIES USING PAPPUS-GULDINUS THEOREMS

Authors

  • Jabborov M.M. Jabborov M.M. Author
  • Muhammadiyeva D.S. Muhammadiyeva D.S. Author

Keywords:

Pappus-Guldinus theorems, rotational bodies, center of mass, multiple integrals, engineering calculations, torus volume, surface area.

Abstract

In this article, the applications of the Pappus-Guldinus theorems in simplifying the calculations of surface areas and volumes of rotational bodies are investigated. Traditional methods using multiple integrals are compared with the elegant geometric approach provided by these theorems. To demonstrate the efficiency and accuracy of these theorems in modern engineering and applied mechanics, several practical problems - including the parameters of a torus, a right cone, and a sphere - are presented with step-by-step solutions.

Author Biographies

  • Jabborov M.M., Jabborov M.M.

    National Pedagogical University of Uzbekistan named after Nizami, Uzbekistan

  • Muhammadiyeva D.S., Muhammadiyeva D.S.

    Master's student, Uzbekistan National Pedagogical University named after Nizami, Uzbekistan

References

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Published

2026-05-15

Issue

Vol. 6 No. 2 (2026): FRONTIERS OF KNOWLEDGE AND INTERDISCIPLINARY DISCOVERY

Section

Articles