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A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.
**Mathematical formulas**:
The volume of a cone:
V = ⅓ ∙ π ∙ r² ∙ v
The surface of a cone:
S = π ∙ r² + π ∙ r ∙ h = π ∙ r ∙ (r + h)