FrancophonIA/Vikidia-EnFr huggingface dataset:
A sphere is a shape in space that is like the surface of a ball. Most of the time, the terms ball and sphere are used as the same. But in mathematics, the precise (exact) definition only allows points in the 3 dimensional space which are uniformly and symmetrically located at a fixed length called radius of the sphere.

Examples of these are basketballs, superballs, and playground balls.

A sphere is the 3 dimensional analogue of a circle.

The volume (V) of a sphere is given by the following formula

where r is the radius of the sphere.

The surface area (A) of a sphere is given by the following formula

where r is the radius of the sphere.

In Cartesian co-ordinates, the equation for a sphere with a center at (x0, y0, z0) is as follows:

(
x
−

x

0



)

2


+
(
y
−

y

0



)

2


+
(
z
−

z

0



)

2


=

r

2




{\displaystyle (x-x_{0})^{2}+(y-y_{0})^{2}+(z-z_{0})^{2}=r^{2}}

where r is the radius of the sphere.