Complete the following pseudocode for calculating the volume of a cone, including input validation for non-negative dimensions.

The pseudocode describes a program that takes two inputs, length and height. It includes validation to ensure both inputs are non-negative. If an input is negative, an error message is displayed, and the user is prompted to re-enter a positive value. Finally, it calculates a Volume using the formula 1/3 π square radius x height, where length is implicitly used as the radius.

The original pseudocode has incomplete conditional statements and lacks proper looping for re-entering invalid inputs. The completed pseudocode, including input validation loops and an End statement, is as follows:

Begin
  // Input and validate length (assumed to be radius)
  Repeat
    Enter length
    If length < 0 Then
      Display "Error message: Length must be a positive value. Please re-enter."
    End If
  Until length >= 0

  // Input and validate height
  Repeat
    Enter height
    If height < 0 Then
      Display "Error message: Height must be a positive value. Please re-enter."
    End If
  Until height >= 0

  // Calculate Volume using the formula
  Volume = (1/3) * π * (length)^2 * height

  // Display the calculated volume
  Display "The calculated Volume is: ", Volume
End

Based on the line Volume = 1/3 π square radius x height, and assuming length represents the radius ($r$) and height represents the height ($h$), the mathematical formula for the volume is:

Where $r$ is the length and $h$ is the height.

The formula calculated by the program is: