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

Question

asked Feb 20, 2022 21.1k views

1 Answer

Gekctek · Answer 1 · 2022-02-25T19:39:36+0000

Answer:

$2059.7\,\,cm^2$

Explanation:

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

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

Earth has the shape of a sphere.

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

Put
$\pi=(22)/(7)\,,\,r=12.8\,\,cm$

So,

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