The Earth

The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere.

Correct answer:

r =  6370.5973 km
o =  40027.6436 km
V =  1083001548067.1 km³

Step-by-step explanation:

$$\begin{gathered} S=510000000{\text{km}}^2 \\ S=4\pi r^2 \\ r=\sqrt{\frac{S}{4\pi }}=\sqrt{\frac{510000000}{4\cdot 3.1416}}=6370.5973\text{km} \end{gathered}$$

$o=2\pi \cdot r=2\cdot 3.1416\cdot 6370.5973=40027.6436\text{km}$

$V=\frac{4}{3}\cdot \pi \cdot r^3=\frac{4}{3}\cdot 3.1416\cdot 6370.5973^3=1083001548067.1{\text{km}}^3\doteq 1.083\cdot 10^{12}{\text{km}}^3$

Try another example