Earth has a radius of about 6.4 x 10 to the 6th power m. Approximate the surface area of earth using the formula for the surface area is a sphere, S = 4 pi r squared. Earths surface is about 70 percent water. About how many square meters of earths surface are covered with water? The oceans have an average depth of 3795 m. Estimate the volume of water on earth.
2. Earth has a radius of about 6.4 x 106 m. Use scientific notation to show the calculations and final answers.
a. What is the approximate surface area of the earth? Use the formula S A space equals space 4 πr squared and use 3.14 for pi.
SA = (4)(3.14)(6.4 x 106 m)2 SA ≈ 5.14 x 1014 m2
b. Oceans cover about 70% of the surface of the Earth. About how many square meters of Earth's surface are covered by ocean water?
= (.70) (4)(3.14)(6.4 x 106 m)2
= 40232.192 x 1012
≈ 4.0232192 x( 1012 • 104)
≈ 4.02 x 1016
About 4.02 x 1016 m2 of Earth's surface are covered by ocean water
water is 0.70 * 4*pi*(6.4*10^6)^2
for volume, multiply that by the depth.
Earth has a radius of about 6.4 x 106 m. Show your work and write your answer in scientific notation.
a. What is the approximate surface area of the earth? Use the formula S A space equals space 4 πr squared and use 3.14 for pi.
To approximate the surface area of the Earth, we can use the formula for the surface area of a sphere: S = 4πr², where S represents the surface area and r represents the radius. Given that Earth has a radius of about 6.4 x 10^6 m, we can substitute this value into the formula:
S = 4π(6.4 x 10^6)²
S ≈ 4π(4.096 x 10^13)
S ≈ 1.29 x 10^14 m²
The Earth's surface is about 70% water, so to estimate the square meters of Earth's surface covered with water, we can calculate:
Water surface area = 0.7 x Earth surface area
Water surface area ≈ 0.7 x 1.29 x 10^14 m²
Water surface area ≈ 9.03 x 10^13 m²
Thus, approximately 9.03 x 10^13 square meters of Earth's surface are covered with water.
To estimate the volume of water on Earth, we need to multiply the water surface area by the average depth of the oceans. Given that the average depth of the oceans is about 3795 m:
Volume of water = Water surface area x Average depth of oceans
Volume of water ≈ 9.03 x 10^13 m² x 3795 m
Volume of water ≈ 3.43 x 10^17 m³
Hence, the estimated volume of water on Earth is approximately 3.43 x 10^17 cubic meters.