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Sphere - Wikipedia
A sphere (from Greek σφαῖρα, sphaîra) [1] is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. Formally, a sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. [2] That given point is the center of the sphere, and r is the sphere's radius.
Equation of a Sphere – Examples and Diagram - Math Monks
Aug 3, 2023 · What is the equation of a sphere with solved examples and diagram. Also learn how to find it in standard and general form.
Sphere - Wolfram MathWorld
1 day ago · A sphere is defined as the set of all points in three-dimensional Euclidean space R^3 that are located at a distance r (the "radius") from a given point (the "center"). Twice the radius is called the diameter, and pairs of points on the sphere on opposite sides of a …
Equation of Sphere (Surface Area and Volume Formula)
In this article, let us discuss how to derive the equation of a sphere along with the surface area and the volume of the sphere in detail. How to Derive the Equation of a Sphere? The equation of a circle of radius r is given by: x 2 + y 2 = r 2. You can relate it to the algebraic method of starting the Pythagoras theorem.
Equation of a Sphere Calculator
The equation of a sphere calculator will find the center and radius of a sphere from its equation or vice versa.
How to Calculate the Volume of a Sphere - wikiHow
Sep 19, 2024 · Write down the equation for calculating the volume of a sphere. This is the equation: V = ⁴⁄₃πr³. In this equation, "V" represents volume and "r" represents the radius of the sphere. [3] Find the radius. If you're given the radius, then you can move on to the next step.
Sphere - Definition, Formulas, Equation, Properties & Examples
A sphere is a three-dimensional object that has no edges and no vertices. Visit BYJU'S to learn the sphere definition, surface area and volume formula, equation, properties and solved examples.
Equation of a Sphere - GeeksforGeeks
Aug 6, 2024 · The equation of a sphere defines all points equidistant from its center, given by (x - h)² + (y - k)² + (z - l)² = r², where (h, k, l) is the center and r is the radius. This article provides an in-depth exploration of the equation of a sphere, its properties, applications, and related concepts.
Sphere – Shape, Formulas, Examples & Diagrams
Aug 3, 2023 · What is a sphere with equations. Learn how to find its volume, surface area, radius, diameter, and circumference with formulas and examples
Equation of a Sphere - Socratic
The answer is: x2 + y2 +z2 + ax +by +cz + d = 0, This is because the sphere is the locus of all points P (x,y,z) in the space whose distance from C(xc,yc,zc) is equal to r. So we can use the formula of distance from P to C, that says: √(x −xc)2 + (y −yc)2 + (z − zc)2 = r and so: (x −xc)2 + (y − yc)2 +(z −zc)2 = r2,
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