the diameter of earth is approximately 7926 miles. the diameter of the moon is approximately 2,159 miles. Approximately how many moons would fit inside the earth?

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01-01-2018
Mathematics

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the diameter of earth is approximately 7926 miles. the diameter of the moon is approximately 2,159 miles. Approximately how many moons would fit inside the earth?

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kroesnasrun kroesnasrun · Answer 1 · 2018-01-01T23:22:11+01:00

To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.

V = 4/3 π r^3

Earth:
d = 2r
d = 7926 miles
7926 = 2r
3963 miles = r
V = 4/3 π (3963)^3
V = 4/3 π (62240377347)
V = 82987169796π cubic miles

Moon:
d = 2r
d = 2159 miles
2159 = 2r
1079.5 miles = r
V = 4/3 π (1079.5)^3
V = 4/3 π (1257963209.88)
V = 1677284279.83π cubic miles

Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth
82987169796π ÷ 1677284279.83π =
approx 49

Rounding to the nearest whole number, 49 moons can fit in the earth.
Rounding to the tenth place, 50 moons can fit in the earth.