Volume & surface area of a right circular cone cut by a plane parallel to its symmetrical axis
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2015
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| _version_ | 1866901686653550592 |
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| author | Rajpoot, Harish Chandra |
| author_facet | Rajpoot, Harish Chandra |
| contents | <p>This paper presents analytical expressions for computing the volume, surface area, and the area of the hyperbolic section obtained when a right circular cone is intersected by a plane parallel to its axis. The derivations are based on elementary principles of geometry, trigonometry, and calculus. The resulting formulas provide generalized and explicit methods for evaluating both the minor and major portions of the cone bounded by hyperbolic sections. Due to their simplicity and generality, these expressions are applicable to a wide range of theoretical and practical problems involving conic sections and related geometric configurations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18003008 |
| institution | Zenodo |
| language | eng |
| publishDate | 2015 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Volume & surface area of a right circular cone cut by a plane parallel to its symmetrical axis Rajpoot, Harish Chandra Mathematics Pure mathematics Geometry hyperbolic section <p>This paper presents analytical expressions for computing the volume, surface area, and the area of the hyperbolic section obtained when a right circular cone is intersected by a plane parallel to its axis. The derivations are based on elementary principles of geometry, trigonometry, and calculus. The resulting formulas provide generalized and explicit methods for evaluating both the minor and major portions of the cone bounded by hyperbolic sections. Due to their simplicity and generality, these expressions are applicable to a wide range of theoretical and practical problems involving conic sections and related geometric configurations.</p> |
| title | Volume & surface area of a right circular cone cut by a plane parallel to its symmetrical axis |
| topic | Mathematics Pure mathematics Geometry hyperbolic section |
| url | https://doi.org/10.5281/zenodo.18003008 |