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Calculate the mass of earth
earth assum
assuming
that it i a
6.67x106m.
Sphere with radius​


Sagot :

Answer:

[tex]m=6.85\times 10^{24}\ kg[/tex]

Explanation:

The radius of Earth is [tex]6.67\times 10^6\ m[/tex]

The density of an object is given by :

[tex]d=\dfrac{m}{V}[/tex]

The density of Erth is, d = 5515 kg/m³

Where

m is the mass of the Earth

So,

[tex]m=d\times V\\\\m=\dfrac{4}{3}\pi r^3\times d[/tex]

Put all the values,

[tex]m=\dfrac{4}{3}\pi \times (6.67\times 10^6)^3\times 5515 \\\\m=6.85\times 10^{24}\ kg[/tex]

So, the mass of the Earth is equal to [tex]6.85\times 10^{24}\ kg[/tex].