Question

The equatorial diameter of a model of earth is 25.6 cm. What is the total surface area of the model​

Answer 1

Answer:

$2059.7\,\,cm^2$

Step-by-step explanation:

Diameter of a model of earth (D) = 25.6 cm

Radius of a model of earth (r) = $\frac{D}{2}=\frac{25.6}{2}=12.8\,\,cm$

Earth has the shape of a sphere.

Total surface area of a sphere = $4\pi r^2$

Put $\pi=\frac{22}{7}\,,\,r=12.8\,\,cm$

So,

Total surface area of the model $=4(\frac{22}{7})(12.8)^2=2059.7\,\,cm^2$