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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 volume of a circular cone frustum is: = ... For a right circular conical frustum [5] [6] the slant height is = ) +, the lateral surface area is ...
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).
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.
For a circular bicone with radius R and height center-to-top H, the formula for volume becomes V = 2 3 π R 2 H . {\displaystyle V={\frac {2}{3}}\pi R^{2}H.} For a right circular cone, the surface area is
Archimedes showed that the surface area of a sphere is exactly four times the area of a flat disk of the same radius, and the volume enclosed by the sphere is exactly 2/3 of the volume of a cylinder of the same height and radius. Most basic formulas for surface area can be obtained by cutting surfaces and flattening them out (see: developable ...
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 .