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Cone Geometry: Volume, Slant Height & Surface Area

A cone tapers smoothly from a circular base to an apex point. Its volume is one third of a cylinder with identical base and height.
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Cone Geometric Relationships

A right circular cone consists of a planar circular base connected smoothly to an apex point. The vertical height h and radius r determine the slant height s = √(r² + h²) via the Pythagorean Theorem.

Volume = 1/3 × π × r² × h
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