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].
