Sphere Equation in 3D
The equation for a sphere in three-dimensional space is given by:
(x – h)2 + (y – k)2 + (z – l)2 = r2
Where,
- (x, y, z) are Coordinates of a Point in 3D space.
- (h, k, l) are Coordinates of Center of sphere.
- r is Radius of Sphere
This equation describes all the points (x, y, z) that are at a distance r from the center (h, k, l) in three-dimensional space. The squared terms on the left side of the equation ensure that the distance calculation is always positive.
Sphere: Definition, Formulas, Examples, Shapes, Properties
Sphere is a three-dimensional object that is perfectly round and symmetrical in shape. It is a set of points in 3-D space that are all equidistant from a fixed point(center). The distance from the center to any point on the surface of the sphere is the same, and this distance is called the radius. A sphere is defined in 3 axis whereas a sphere is defined only in 2 axis.
In this article, we have explained everything about the Sphere from the Definition of Sphere, Volume, and Surface Area Formula, to Real-life Examples of Spheres. Let’s get a closer look at Sphere in Detail.
Table of Content
- Sphere Definition
- Shapes of Sphere
- Examples of Sphere
- Sphere Formulas
- Surface Area of a Sphere
- Volume of a Sphere
- Sphere Equation in 3D