The mass of the planet Saturn (Fig. P1.2) is 5.64 10 26 kg, and its radius is 6.00 10 7 m. Calculate itsdensity
Question
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.
Solution
To calculate the density of Saturn, we need to use the formula for density which is:
Density = Mass / Volume
We know the mass of Saturn is 5.64 x 10^26 kg.
The volume of a sphere (which is a good approximation for the shape of a planet) is given by the formula:
Volume = 4/3 * π * radius^3
The radius of Saturn is given as 6.00 x 10^7 m. So, we can calculate the volume as:
Volume = 4/3 * π * (6.00 x 10^7 m)^3
Once we have the volume, we can substitute the values of mass and volume into the density formula to find the density of Saturn.
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