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An approximation for the volume of a thin spherical shell is the surface area of the inner sphere multiplied by the thickness t of the shell: [2], when t is very small compared to r (). The total surface area of the spherical shell is .
This is the convention followed in this article. In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a given point in space is specified by three real numbers: the radial distance r along the radial line connecting the point to the fixed point of origin; the polar angle θ ...
The volume of a n-ball is the Lebesgue measure of this ball, which generalizes to any dimension the usual volume of a ball in 3-dimensional space. The volume of a n -ball of radius R is where is the volume of the unit n -ball, the n -ball of radius 1. The real number can be expressed via a two-dimension recurrence relation.
In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere (forming a great circle), so that the height of the cap is equal to the radius of the sphere, the spherical cap ...
A solid, spherically symmetric body can be modeled as an infinite number of concentric, infinitesimally thin spherical shells.If one of these shells can be treated as a point mass, then a system of shells (i.e. the sphere) can also be treated as a point mass.
Uniformly initiated spherical charge imploding an inner mass - spherical shell explosive charge of mass C, outer tamper layer of mass N, and inner imploding spherical flyer shell of mass M A special case is a hollow sphere of explosives, initiated evenly around its surface, with an outer tamper and inner hollow shell which is then accelerated ...
The Cartesian coordinates of P are roughly (1.09, −1.89, 1.66). Oblate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the ellipse, i.e., the symmetry axis that separates the foci. Thus, the two foci are ...
A spherical Gaussian surface is used when finding the electric field or the flux produced by any of the following: [3] a point charge; a uniformly distributed spherical shell of charge; any other charge distribution with spherical symmetry; The spherical Gaussian surface is chosen so that it is concentric with the charge distribution.