Cone-Sphere Intersection -- from Wolfram MathWorld
Dec 22, 2025 · Let a cone of opening parameter c and vertex at (0,0,0) intersect a sphere of radius r centered at (x_0,y_0,z_0), with the cone oriented such that its axis does not pass …
The problem of determining whether a sphere intersects a cone is equivalent to using Minkowski sums, where the sphere is shrunk to its center point C by its radius r and the cone is expanded …
Spherical sector - Wikipedia
In geometry, a spherical sector, [1] also known as a spherical cone, [2] is a portion of a ball that is bounded by a spherical cap and the cone that connects the centre of the sphere to the …
Equation for the intersection between a cone and a sphere?
May 11, 2023 · If you assume the Earth is a sphere, which it ain't, and you point your 'cone' consisting of lines emanating from your boresight, the intersection of those lines with a sphere …
Intersection of cone and sphere - Mathematics Stack Exchange
Mar 1, 2022 · So the tip of the cone is at the satellite's center orbiting Earth, and the wide part of the cone is intersecting with Earth's surface. The center axis of the cone is always pointing …
Intersection of a Cone and a Sphere - wolframcloud.com
Apr 2, 2014 · Intersection of a Cone and a Sphere ... This Demonstration explores the shape of the difference between a right elliptic cone and a sphere. Details The parametric equation of a …
Find the volume enclosed between a sphere and a cone | polar ...
This video demonstrates how to calculate the volume enclosed between a cone and a sphere. First, I explain how to find the region of intersection by equating the equations of the two …
The manuscript provides formulas for the volume of a body de-fined by the intersection of a solid cone and a solid sphere as a function of the sphere radius, of the distance between cone apex …
Cone-Sphere Intersection - Michigan State University
May 26, 1999 · Let a Cone of opening parameter and vertex at intersect a Sphere of Radius centered at , with the Cone oriented such that its axis does not pass through the center of the …
Sphere & Elliptical intersection by opening angles and radius
An ellipse can be warped to lay on the surface of a sphere by intersecting a sphere of radius r with an elliptical cone with an opening angle of along one axis and along a perpendicular axis.