The radius of the earth is 3963 mi.Which one of the following numbers is closest to the surface area of the earth? (1.0 mi = 1609 m) A)4.9 × 10⁷ m² B)1.3 × 10¹⁴ m² C)2.6 × 10¹⁴ m² D)5.1 × 10¹⁴ m²

Question

Quizplus · Accepted Answer

The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere. 
Substituting the given value of the radius, we get:

Surface area of Earth = 4π(3963)^2 sq. miles
= 4π(3963 x 1609)^2 sq. meters (converting miles to meters)
= 5.1 x 10^14 sq. meters

Among the given options, the closest value is 5.1 x 10^14 sq. meters, which is option D.

The Radius of the Earth Is 3963 Mi