The mass of the planet Saturn (Fig. P1.2) is 5.64 1026 kg, and its radius is 6.00 107 m. Calculate its density.

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]

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