Question

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?

Answer 1

The surface area of the moon is 14.4699 ×
`10^(16)` square miles.

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 ×
`10^(8)` miles in the question. So r = 1.08 ×
`10^(8)` 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 ×
`10^(8)`)²,

= 12.56 ×
`10^(16)` × (1.08)²,

= 14.4699 ×
`10^(16)` square miles.

So the surface area of the moon is 14.4699 ×
`10^(16)` square miles.