The earth has a radius of 6,380 km. The formula for the volume of a sphere is
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V = 4/3
ðx^3, and the formula
for surface area of a sphere is A = 4ðx^2 . Find the volume and surface area of the earth and write the answer in
scientific notation with two numbers after the decimal
V = 4/3 π r^3
A = 4 π r^2
π = 3.1416
6,380 = 6.38 * 10^3 (scientific notation)
Insert values and calculate.
To find the volume and surface area of the Earth, we can use the given formulae. Let's calculate each parameter step by step:
1. Volume of the Earth:
V = (4/3) * π * r^3
= (4/3) * π * (6,380 km)^3
= (4/3) * 3.14159 * (6,380 km)^3
≈ 1.08 * 10^12 km^3
Therefore, the volume of the Earth is approximately 1.08 * 10^12 km^3.
2. Surface area of the Earth:
A = 4 * π * r^2
= 4 * 3.14159 * (6,380 km)^2
≈ 5.12 * 10^8 km^2
Therefore, the surface area of the Earth is approximately 5.12 * 10^8 km^2.
In scientific notation, the answer for the volume is 1.08 * 10^12 km^3, and the answer for the surface area is 5.12 * 10^8 km^2.