xGeometry

Sphere

r
Radius
r
Diameter
d
Circumference
C
V=43πr3
Volume
r=33V4π
Radius
Stot=4πr2
Total surface
r=Stot4π
Radius
A=πr2
Area
r=Aπ
Radius
C=2πr
Circumference
r=C2π
Radius
d=2r
Diameter
r=d2
Radius

Definition

A sphere is a solid made up from all points with a distance equal or less than a costant distance, called radius of the sphere, from a fixed point, called center of the sphere.

Properties

  1. The sphere is a solid generated from the rotation of a semicircle around its diameter
  2. Radius: any segment that extends from the center of the sphere to a any point of the spherical surface
  3. Pi (symbol π) constant value approximated as π3.14
  4. All the  Circle formulas are valid
Sphere

Sphere Formulas

Data Formula
Volume V = 4/3 × π × r3
Radius V = 3√[(3V) / (4π)]
Total surface Stot = 4 × π × r2
Radius r = √[Slat / (4π)]
Area A = πr2
Radius r = √(A / π)
Circumference C = 2πr
Radius r = C / (2π)
Diameter d = 2r
Radius r = d/2