Determine the density of a planet in SI units

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SUMMARY

The density of a fictional planet can be calculated using its mass and volume. The mass is given as 1.28 x 1022 kg, and the radius is 1.12 x 103 km. To find the density in SI units (kg/m3), the volume must first be calculated using the formula Volume = (4/3)πr3. The correct density calculation results in 1.14 x 1025 kg/m3.

PREREQUISITES
  • Understanding of density and its formula
  • Knowledge of volume calculation for spheres
  • Familiarity with SI units and unit conversion
  • Basic algebra skills for manipulating equations
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  • Learn how to calculate volume using the formula for spheres
  • Study the concept of density and its applications in physics
  • Explore unit conversion techniques between different measurement systems
  • Investigate the properties of fictional planets in astrophysics
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Students in physics, educators teaching density and volume concepts, and anyone interested in planetary science and calculations related to celestial bodies.

surfingian
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Homework Statement


Determine the density of fictional planet in SI units from the information


Homework Equations


Planets mass 1.28x10^22 Kg divided by radius 1.12x10^3Km = 1.14x10^25 Kg/m3

The Attempt at a Solution


My answer seems all wrong, the SI unit should be in Kg/m cubed. Is radius equal to the volume as I feel that this is where the calculation went wrong, or maybe what I have got is right.
 
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welcome to pf!

hi surfingian! welcome to pf! :smile:

density is per volume :wink:
 
The radius is not the volume. ##Volume=\frac{4}{3} \pi r^3##
 

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