Derivation for the Volume of an N-Sphere
Published:
Project timeline: Aug 2019 – Dec 2019
Course: MATH 253 (Calculus III), Skyline College Honors Transfer Program
Deliverable: Final paper typeset in LaTeX
Have you ever wondered what the volume of an n-dimensional sphere would be? I know I have. Which is exactly why I set out to reverse-engineer the classic disk method, stretch it into higher dimensions, and see where the calculus takes us.
The paper walks through the full derivation, leaning on multivariable integrals, trigonometric substitution, and the Gamma function to assemble a closed-form expression.
Read the Paper
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