Imagine two planets, A and B, that are made of the same type of material. Planet A has
twice the radius of planet B (and so has more material). How would you expect their masses to compare?
A ) if the radius of planet A is twice as big as B, the mass would be twice as big
B) if the radius of planet
A is twice as big as B, the mass would be 22 = 4 times as big, because
the surface area goes as the radius squared (4 π R2)
C) if the radius of planet
A is twice as big as B, the mass would be 23 = 8 times as big, because
the value goes as the radius cubed (4/3 π R3)
D) they would have the same
mass
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