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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.
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.
For a circular bicone with radius R and height center-to-top H, the formula for volume ... For a right circular cone, the surface area is ... is the slant height.
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.
If the radius of the sphere is denoted by r and the height of the cap by h, the volume of the spherical sector is =. This may also be written as V = 2 π r 3 3 ( 1 − cos φ ) , {\displaystyle V={\frac {2\pi r^{3}}{3}}(1-\cos \varphi )\,,} where φ is half the cone angle, i.e., φ is the angle between the rim of the cap and the direction ...
L E is the slant height of the side in the E-field direction L H is the slant height of the side in the H-field direction d is the diameter of the cylindrical horn aperture L is the slant height of the cone from the apex λ is the wavelength. An optimum horn does not yield maximum gain for a given aperture size.
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 .
This volume is given by the formula 1 / 3 π r 4, and is the 4-dimensional equivalent of the solid cone. The ball may be thought of as the 'lid' at the base of the 4-dimensional cone's nappe, and the origin becomes its 'apex'.