RedCrab Math Tutorial

Cone Calculation

  • A cone is a solid with a circular base and one vertex

  • Cones have two faces (the base and the curved surface), one edge that connects the base to the
    curved surface, and one vertex (called the apex).


Cone Formulas

The radius of the base of the cone is the distance from the center to the edge
  • Base radius
r r = √A / π  
The diameter of the base of the cone is the longest distance between two points of the base
  • Diameter of the base
d d = 2 · r d = √4 · A / π
Calculation of the height
  • Height
h h = (3 · V) / A h = √L² - r²
Calculating the slant height of a cone when the height and the radius are known
  • Slant height
L L = √h² + r²  
The lateral surface of a cone is calculated according to the following formula
  • Lateral surface
Sl Sl = (d · π · L) / 2 Dl = (P · L) / 2
The surface is the sum of lateral surface + base area
  • Surface
S S = Sl + A  
Calculation of the volume of a cone from the height and the base area or the radius
  • Volume
V V = (A · h) / 3 V = (r² · h) / 3
  • π (Pi) = 3.14

Example with RedCrab Calculator
  • The calculation uses the class Cone

Points, Distance and Midpoint
Distance Between Two Points
Lines and Gradiants
Angle Definition and Relationships
Lines and Segments of Triangles
Right-Triangles and Pythagorean

Spherical Segments and Sectors


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