The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a sphere, S = 4πr2. Write your answer in scientific notation.

Respuesta :

Answer:

[tex]3.8465 *10^7[/tex] square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula [tex]SA=4\pi r^2[/tex]. Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

[tex]SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000 [/tex]

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. [tex]3.8465 *10^7[/tex]