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No. The Earth's core and mantle would have cooled down by now (4500 million years of cooling) if the heat in the centre were just residual heat from the Earth's formation.

When the Earth was forming and entirely molten, all the heavy elements will have sunk into the core of the planet, separating themselves out into layers of increasing density (this layering would have been disturbed somewhat by convection movements). This would mean that the very heavy radioactive elements would have moved to the core and it is the decay processes of these that is keeping the interior of the earth hot and has been driving plate tectonics and volcanic activity. In essence the planet is a slow fission reactor/bomb.

You may well ask - if all the heavy elements sank, why can we find any at the surface now? - and the answer to that is that a second wave of heavy elements was delivered to the planet after the surface had solidified/cooled, in the late heavy bombardment (which is probably when Earth's) water was delivered too.

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Most of the earth's heat is stored in earth's mantle true or false?

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