the moon is shaped somewhat like a sphere. The surface of the mom is found by using the formula S=12.56r to the 2. What is the surface area of the moon of the radius is 1.08x10 to the 8 mi?

Respuesta :

The surface area of the moon is 14.4699 × [tex]10^{16}[/tex] square miles.

Step-by-step explanation:

Step 1; To solve the question we need two variables. s which represents the surface area of the moon in square miles. The other variable is the radius of the moon in miles. This is given as 1.08 × [tex]10^{8}[/tex] miles in the question.                  So r = 1.08 × [tex]10^{8}[/tex] miles. We need to determine the value of this using the given equation.

Step 2; So we have to calculate the value of 'S' in the given equation.

S = 12.56 × (1.08 × [tex]10^{8}[/tex])²,

  = 12.56 × [tex]10^{16}[/tex] × (1.08)²,

  = 14.4699 × [tex]10^{16}[/tex] square miles.

So the surface area of the moon is 14.4699 × [tex]10^{16}[/tex] square miles.