The Minimum Surface Area of a Combination of a Right Circular Cylinder, a Spherical Cape, and a Right Circular Cone

SN Maitra

doi:https://doi.org/10.59232/MS-V3I1P102

Research Article | Open Access | Download Full Text

Volume 3 | Issue 1 | Year 2025 | Article Id: MS-V3I1P102 DOI: https://doi.org/10.59232/MS-V3I1P102

The Minimum Surface Area of a Combination of a Right Circular Cylinder, a Spherical Cape, and a Right Circular Cone

SN Maitra

Received	Revised	Accepted	Published
16 Jan 2025	12 Feb 2025	02 Mar 2025	18 Mar 2025

Citation

SN Maitra. “The Minimum Surface Area of a Combination of a Right Circular Cylinder, a Spherical Cape, and a Right Circular Cone.” DS Journal of Modeling and Simulation, vol. 3, no. 1, pp. 11-22, 2025.

Abstract

At the outset, with a given volume of a right circular cylinder surmounted by a right circular cone on one end and a hemisphere on the other end, the minimum surface area of the combination is determined. The minimum surface area is calculated with the given volume of a right circular cylinder surmounted by a right circular cone on either end of the cylinder. The minimum surface area is calculated with a given volume of a right circular cylinder surmounted by a right circular cone on only one end. The minimum and maximum distances of the points on the major and minor axes of an ellipse from the latter are determined. Finally, the maximum and minimum lengths of a perpendicular drawn from an ellipse to a straight line are determined.

Keywords

Lagrange’s multiplier optimization method, Surface area, Right circular cylinder, Spherical cape, Right circular cone.

References

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