The radius of the base of the cone is the distance from the center to the edge 

r 
r = √A / π 


The diameter of the base of the cone is the longest distance between two points of the base 

d 
d = 2 · r 
d = √4 · A / π 

Calculation of the height 

h 
h = (3 · V) / A 
h = √L²  r² 




Calculating the slant height of a cone when the height and the radius are known 

L 
L = √h² + r² 





The lateral surface of a cone is calculated according to the following formula 

Sl 
Sl = (d · π · L) / 2 
Dl = (P · L) / 2 




The surface is the sum of lateral surface + base area 

S 
S = Sl + A 





Calculation of the volume of a cone from the height and the base area or the radius 

V 
V = (A · h) / 3 
V = (r² · h) / 3 

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Example with RedCrab Calculator 
 The calculation uses the class Cone



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