The right circular Cone

The following elements of a right circular cone are calculated if two of them are given:

• Radius r
• Altitude h
• Apothem s
• Volume V
• Base B
• Lateral Surface L
• Surface S

Given:
¯¯¯¯¯¯
            Volume V = 1
                Base B = 1

Results:
¯¯¯¯¯¯¯
              Radius r = 0,56418958
             Altitude h = 3
           Apothem s = 3,0525907
 Lateral Surface L = 5,4105761
             Surface S = 6,4105761

Given:
¯¯¯¯¯¯
            Volume V = 1
           Surface S = 8

1st solution
¯¯¯¯¯¯¯¯¯
              Radius r = 1,0546383
             Altitude h = 0,85854749
           Apothem s = 1,3599139
 Lateral Surface L = 4,5057262
                 Base B = 3,4942738
 
2nd solution
¯¯¯¯¯¯¯¯¯
              Radius r = 0,40122021
             Altitude h = 5,9320634
           Apothem s = 5,9456164
 Lateral Surface L = 7,4942738
                 Base B = 0,50572622

See also: