In this article the volume of the n-dimensional ellipsoid is derived using the method, step by step process of integration. Recurrence relations are developed to find the volume and surface area of n-dimensional sphere. The relation between the volume and surface area of n-dimensional sphere is given. The asymptotic behavior of the volume and surface area of the unit sphere is also discussed.
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Author Name: A. John Wilson
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Keywords: n-dimensional ellipsoid; volume; surface area; asymptotic behavior; Euclidean space.
ISSN: 0976-1152
EISSN: 0976-1152
EOI/DOI:
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