Answer:
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
