Earth's radius is about 1080 mi. About 70% of Earth's surface is water. How many square miles of water are on Earth's surface? Leave your answer in terms of
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π
To find the number of square miles of water on Earth's surface, we need to calculate the area of the water on Earth.
The total surface area of a sphere can be calculated using the formula:
Surface Area = 4πr²
Where r is the radius of the sphere.
Given that Earth's radius is about 1080 mi, we can substitute this value into the formula:
Surface Area = 4π(1080)^2
Calculating this expression gives us:
Surface Area ≈ 4π(1166400)
Simplifying further:
Surface Area ≈ 4π(1340462400)
Surface Area ≈ 5361849600π mi²
Since about 70% of Earth's surface is water, we can multiply the calculated surface area by 0.70 to find the area of water on Earth:
Water Area = 0.70 * 5361849600π mi²
Simplifying this expression gives us:
Water Area ≈ 3753294720π mi²
Therefore, the number of square miles of water on Earth's surface is approximately 3753294720π mi².
The total surface area of Earth can be found using the formula for the surface area of a sphere:
Surface area = 4πr^2
where r is the radius of Earth.
Surface area = 4π(1080)^2
Surface area = 4π(1,166,400)
Surface area = 4,622,848π
Since 70% of Earth's surface is water, we can multiply the total surface area by 0.7 to find the amount of water:
Water area = 0.7(4,622,848π)
Water area = 3,235,993.6π
Therefore, there are approximately 3,235,993.6π square miles of water on Earth's surface.