The volume of the Earth's oceans is approximately 1.4×1018 m3. The Earth's radius is 6.4×106 m. What percentage of the Earth, by volume, is ocean?
To find the percentage of the Earth's volume that is occupied by the ocean, we need to calculate the volume of the ocean and then divide it by the total volume of the Earth.
1. Calculate the volume of the Earth:
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius.
Plugging in the values given, we have:
V_earth = (4/3)π(6.4×10^6)^3
2. Calculate the volume of the ocean:
The volume of the ocean is given as 1.4×10^18 m^3.
3. Find the percentage:
Divide the volume of the ocean by the volume of the Earth and multiply by 100 to get the percentage.
Percentage = (Volume of ocean / Volume of Earth) × 100
Let's do the math:
1. Calculate the volume of the Earth:
V_earth = (4/3)π(6.4×10^6)^3
V_earth ≈ 1.083×10^21 m^3
2. Calculate the volume of the ocean:
V_ocean = 1.4×10^18 m^3
3. Find the percentage:
Percentage = (V_ocean / V_earth) × 100
Percentage = (1.4×10^18 / 1.083×10^21) × 100
Percentage ≈ 0.129%
Therefore, approximately 0.129% of the Earth, by volume, is occupied by the ocean.
To find the percentage of the Earth, by volume, that is ocean, we need to calculate the volume of the Earth and then compare it to the volume of the oceans.
Step 1: Calculate the volume of the Earth
The volume of a sphere can be calculated using the formula V = (4/3) * π * r^3, where V is the volume and r is the radius.
Given that the radius of the Earth is 6.4×10^6 m, we can substitute this value into the formula to calculate the volume of the Earth.
V = (4/3) * π * (6.4×10^6)^3
Calculating this expression will give us the volume of the Earth.
Step 2: Calculate the percentage of the Earth that is ocean
Once we have the volume of the Earth and the volume of the oceans, we can determine the percentage of the Earth that is ocean. This can be calculated using the formula:
Percentage = (Volume of Oceans / Volume of Earth) * 100
Substituting the given values, we can calculate the percentage of the Earth that is ocean.
Using these steps, we can find the answer to the question. Let's calculate it:
Step 1: Calculate the volume of the Earth
V = (4/3) * π * (6.4×10^6)^3
Step 2: Calculate the percentage of the Earth that is ocean
Percentage = (Volume of Oceans / Volume of Earth) * 100
By following these steps and performing the necessary calculations, we can determine the percentage of the Earth, by volume, that is ocean.