if the radius of the earth were increased by a factor 5 by what factor would it's density have to changed to keep the value of acceleration due to gravity the same?

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if the radius of the earth were increased by a factor 5 by what factor would it's density have to changed to keep the value of acceleration due to gravity the same?

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if the radius of the earth were increased by a factor 5 by what factor...

G, M, R, ρ and V are Gravitational constant, mass of earth, radius of earth, density of earth and volume of earth respectively.

Hence if radius R increases by factor of 3, then density ρ should decrease by a factor of 1/3.

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if the radius of the earth were increased by a factor 5 by what factor would it's density have to changed to keep the value of acceleration due to gravity the same?

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