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25 May, 10:52

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?

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  1. 25 May, 11:03
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    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
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