Question

You

The diameter of the Earth's moon is on average 3.8 x 10 to the 8th power m. Use the formula a equals 4 pi r to the second power to find the approximate surface area

Answer 1

The Surface area of the moon is
`4.53 * 10^(17)`

Explanation:

Given:

Diameter of the moon = 3.8 x 10 to the 8th

To Find :

The surface area of the moon = ?

Solution:

The moon is in the shape of of the sphere .

So the surface area of the moon = surface area of the sphere

The surface area of the sphere =
`4\pi r^2`

Where r is the radius of the sphere

Radius , r =
`(Diameter)/(2)`

r =
`(3.9 * 10^8)/(2)`

r =
`1.9 * 10^8`

Now the surface area of the moon with radius r =
`1.9 * 10^8` is

=>
`4 \pi * (1.9 * 10^8)^2`

=>
`4 * 3.14 * (1.9 * 10^8)^2`

=>
`12.56 * 3.61 * 10^(16)`

=>
`45.34 * 10^(16)`

=>
`4.53 * 10^(17)`