Question

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? ​

Answer 1

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

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