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If we assume shape of earth be solid spherical.

Then, the volume of earth=4/3πR3

where R is radius of earth.

Given, volume of earth=V=4/3πR3

surface area of earth=A=4πR2

So, V/A=(4/3R3)/4πR2

or V/A=R/3

or, R=3V/A

Now, capacitance of earth=4π∈0R

=4π∈03VA

=12π∈0VA.

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