Answer:
[tex]2059.7\,\,cm^2[/tex]
Step-by-step explanation:
Diameter of a model of earth (D) = 25.6 cm
Radius of a model of earth (r) = [tex]\frac{D}{2}=\frac{25.6}{2}=12.8\,\,cm[/tex]
Earth has the shape of a sphere.
Total surface area of a sphere = [tex]4\pi r^2[/tex]
Put [tex]\pi=\frac{22}{7}\,,\,r=12.8\,\,cm[/tex]
So,
Total surface area of the model [tex]=4(\frac{22}{7})(12.8)^2=2059.7\,\,cm^2[/tex]
