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# The earth has Volume 'V' and surface area 'A' then its capacitance would be

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#### If we assume shape of earth be solid spherical.Then, the volume of earth=4/3πR3where R is radius of earth.Given, volume of earth=V=4/3πR3surface area of earth=A=4πR2So, V/A=(4/3R3)/4πR2or V/A=R/3or, R=3V/ANow, capacitance of earth=4π∈0R=4π∈03VA=12π∈0VA.

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