Answer to Question #230320 in Physics for jopay

Question

   Assume that the radius of the earth is 3.00 x 10³ mi. How many cubic meters of space does the earth occupy?

 

Answer 1

Given:

$R=3.00*10^3{\:\rm mi}=3.00*10^3*1609{\:\rm m}\\=4.83*10^6\:\rm m$

The volume of Earth

$$V=\frac{4}{3}\pi R^3$$

$$V=\frac{4}{3}\pi (4.83*10^6\:\rm m)^3=4.71*10^{20}\: m^3$$