If the earth is bigger than the moon by 25 times, how big is the moon? Express your answer in scientific notation.

Question

asked Nov 7, 2023 90.4k views

1 Answer

Alfredo Osorio · Answer 1 · 2023-11-11T05:00:45+0000

The Solution:

The radius of the earth (R) = 6378 kilometers.

Comparing the size of the earth to that of the moon by their volumes

We have the volume of the earth as below:

Assumption: The earth is spherical.

$V=(4\pi r^3)/(3)$

In this case,

r=radius of the earth =6378km

V=volume of the earth =?

Substituting these values in the formula, we get

$V=(4\pi(6378)^3)/(3)=(1.086781293*10^(12))km^3$

To find how big the moon is, we shall divide the volume of the earth by 25 since the earth is bigger than the moon by 25 times.

$\text{ Volume of the moon = }(4\pi(6378)^3)/(3*25)=(4.34712517*10^(10))km^3$

Therefore, the correct answer is