The moon has a radius of 1736 1736 kilometers. The earth has a radius of 6371 6371 kilometers. How many times as large is the volume of the Earth as the volume of the moon, rounded to the nearest whole number?

The volume of the Earth is 49 times as large as that of the moon

Step-by-step explanation:

Firstly, we consider that both entities are spherical in shape.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

The volume of the moon with radius 1736 kilometers will be;

4/3 * pi * 1736^3 = (20,927,105,024 π) / 3 km^3

The volume of the earth with radius 6371 kilometers will be;

4/3 * pi * 6371^3 = (1,034,386,411,244 π) / 3 km^3

Now to get the number of times the earth is as big as the moon, we simply divide the volume of the earth by that of the moon.

= (1,034,386,411,244 π) / 3 divided by (20,927,105,024 π) / 3

= 1,034,386,411,244/20,927,105,024 = 49.43 which is approximately 49 times