The definition of a scale of 1: 166 will mean that the scale of 1 in the model will be equivalent to 166 times the measurement in the real model, therefore we will have that the height would be 166 times smaller than the 179m given:
[tex]h = \frac{179m}{166} = 1.078m = 107.8cm[/tex]
The same for the diameter,
[tex]\phi = \frac{48m}{166}= 0.2891m = 28.91cm[/tex]
The volume of a cylinder is given as
[tex]V = (\pi r^2)(h)[/tex]
[tex]V = (\pi (\frac{d}{2})^2)(h)[/tex]
[tex]V = (\pi (\frac{ 28.91}{2})^2)(107.8)[/tex]
[tex]V = 70762.8cm^3[/tex]
Therefore the volume would be [tex]V = 70762.8cm^3[/tex]
