The relationship between the mantle and the core is that The mantle's mass is greater than the core's mass, but with less density.
When it comes to mass and volume:
As a result of the mantle having so much volume, it's density is not very high. This is the opposite of the crust which has less volume which ensures that it is more dense than the mantle.
In conclusion, the core is denser than the mantle but the mantle has more mass.
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