Sphere

round, rotationally symmetric shape of the 2D surface of a ball in 3D space
(Redirected from Orb)

A sphere is a shape in space that is like the surface of a ball. Usually, the words ball and sphere mean the same thing. But in mathematics, a sphere is the surface of a ball, which is given by all the points in three dimensional space that are located at a fixed distance from the center. The distance from the center is called the radius of the sphere. When the sphere is filled in with all the points inside, it is called a ball.

A Sphere

Common things that have the shape of a sphere are basketballs, superballs, and playground balls. The Earth and the Sun are nearly spherical, meaning sphere-shaped.

A sphere is the three-dimensional analog of a circle.

Calculating measures of a sphere change

Surface area change

Using the circumference:  

Using the diameter:  

Using the radius:  

Using the volume:  

Circumference change

Using the surface area:  

Using the diameter:  

Using the radius:  

Using the volume:  

Diameter change

Using the surface area:  

Using the circumference:  

Using the radius:  

Using the volume:  

Radius change

Using the surface area:  

Using the circumference:  

Using the diameter:  

Using the volume:   (more simple but less precise)

Volume change

Using the surface area:  

Using the circumference:  

Using the diameter:  

Using the radius:  

Equation of a sphere change

In Cartesian coordinates, the equation for a sphere with a center at ( ,  ,  ) is as follows:

 

where   is the radius of the sphere.

Related pages change