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A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (often circular, though not necessarily) to a point known as the apex or vertex. **Mathematical formulas**: Volume of a cone: V = ⅓ ∙ π ∙ r² ∙ v Surface area of a cone: A = π ∙ r² + π ∙ r ∙ h = π ∙ r ∙ (r + h)