Planet Earth

What is the weight of the planet Earth if its average density is ρ = 2.5 g/cm3?

Correct answer:

m =  2.7080172921145E+21 t

Step-by-step explanation:

ρ=2.5 g/cm3 ρ1​=ρ→ kg/m3=ρ⋅ 1000  kg/m3=2.5⋅ 1000  kg/m3=2500 kg/m3  R=6371 km→ m=6371⋅ 1000  m=6371000 m  V=34​⋅ π⋅ R3=34​⋅ 3.1416⋅ 63710003=1.0832069168458⋅1021 m3  m1​=ρ1​⋅ V=2500⋅ 1.0832069168458⋅1021=2.7080172921145⋅1024 kg  m=m1​→ t=m1​:1000  t=2.7080172921145⋅1024:1000  t=2.7080172921145⋅1021 t=2.7080172921145⋅1021 t

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