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The slant height of a right circular cone is the distance from any point on the circle of its base to the apex via a line segment along the surface of the cone. It is given by r 2 + h 2 {\displaystyle {\sqrt {r^{2}+h^{2}}}} , where r {\displaystyle r} is the radius of the base and h {\displaystyle h} is the height.
The lateral surface volume of a right spherical cone is = where is the radius of the spherical base and is the slant height of the cone (the distance between the 2D surface of the sphere and the apex).
For a right circular cone, the surface area is = where = + is the slant height. Regular right symmetric n-gonal bipyramids: Bipyramid name Digonal bipyramid ...
A frustum's axis is that of the original cone or pyramid. A frustum is circular if it has circular bases; it is right if the axis is perpendicular to both bases, and oblique otherwise. The height of a frustum is the perpendicular distance between the planes of the two bases.
English: This file illustrates a cone and its main caracteristics. Labeled "r" is the radius of the circular base. Labeled "h" is the height, from center of base to apex, of the cone. Labeled "c", is the slant height of the cone. Labeled "θ" is the angle between the height and the slant height.
A conic is the curve obtained as the intersection of a plane, called the cutting plane, with the surface of a double cone (a cone with two nappes).It is usually assumed that the cone is a right circular cone for the purpose of easy description, but this is not required; any double cone with some circular cross-section will suffice.
An elliptic cone, a special case of a conical surface In geometry , a conical surface is a three-dimensional surface formed from the union of lines that pass through a fixed point and a space curve .
That can also be rewritten as + [32] or (+) where r is the radius and l is the slant height of the cone. π r 2 {\displaystyle \pi r^{2}} is the base area while π r l {\displaystyle \pi rl} is the lateral surface area of the cone.