The diameter of the Moon is approximately 3480 km. To calculate its volume, we can use the formula for the volume of a sphere:
Volume = (4/3) × π × r³
First, we need to find the radius of the Moon, which is half of the diameter:
Radius = Diameter / 2 = 3480 km / 2 = 1740 km
Now, we can substitute the radius into the volume formula:
Volume of the Moon = (4/3) × π × (1740 km)³
This calculates to approximately:
Volume of the Moon ≈ 21.9 million cubic kilometers
Next, let’s look at the volume of Earth. The Earth’s diameter is about 12,742 km, so its volume can be calculated using the same formula:
Radius of Earth = 12,742 km / 2 ≈ 6371 km
Volume of Earth ≈ (4/3) × π × (6371 km)³ ≈ 1 trillion cubic kilometers
To find out how many Moons would be needed to equal the volume of Earth, we divide the volume of Earth by the volume of the Moon:
Number of Moons = Volume of Earth / Volume of Moon
Number of Moons ≈ 1 trillion km³ / 21.9 million km³ ≈ 45,000
So, it would take roughly 45,000 Moons to create a volume equal to that of the Earth.