kegelförmigen

Kegelförmigen is a German adjective that describes objects or shapes resembling a cone. In geometry, a cone is a solid bounded by a circular base and a lateral surface formed by straight lines joining every point of the base to a single apex. The most common form is the right circular cone, in which the axis is perpendicular to the base; oblique cones have an axis that is inclined.

Key measurements include base radius r, height h, and slant height l = sqrt(r^2 + h^2). The volume is V = (1/3)π r^2 h; the lateral surface area is A_lat = π r l; the total surface area (including the base) is A = π r(l + r).

Usage notes: kegelförmigen is inflected to agree with the noun it modifies, for example 'kegelförmigen Körper' or 'kegelförmigen Objekten' in accusative or dative plural. The term is commonly used in technical, architectural, and product descriptions to convey conical form. Common examples include traffic cones, ice cream cones, and certain architectural spires.

Related terms: Kegel (cone), Kegelstumpf (cone frustum), Zylinder (cylinder), Kugel (sphere).