Answer:
Ro = 623.35 [kg/m³]
Explanation:
In order to solve this problem we must use the expression of density, which tells us that it is the relationship between mass and volume.
Therefore,
Ro = density [kg/m³]
m = mass = 5.64*10²⁶ [kg]
r = radius = 6*10⁷[m]
V = volume [m³]
The planet has a spherical figure, therefore the volume equation of a sphere is equal to:
V = (4/3)*π*r³
V = (4/3)*π*(6*10⁷)³
V = 9.047*10²³[m³]
And the density will be:
Ro = 5.64*10²⁶/9.047*10²³
Ro = 623.35 [kg/m³]
