Earth"s inner core is solid also though the temperature is for this reason high since the pressure is also really high. Follow to the Wikipedia short article on the Earth"s inside core, the temperature at the facility is $5,700 extK$ and the pressure is estimated to it is in $330$ to $360 extGPa$ ($sim3cdot10^6 extatm$).
The step diagram shown below (taken from this paper) mirrors the liquid/solid transition, wherein fcc and hcp are two different crystalline develops of hard iron. You can see plainly from the slope of the line going off towards the upper ideal that iron must be solid in ~ this temperature and pressure.
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In enhancement to the answers below and also my comment above, I think the complying with phase diagram, indigenous DavePhd"s price here, sourced native here, is an ext appropriate because that the press levels close to the Earth"s core of about 330 come 360GPa.
We can see from the photo that for pressures between 330 and 360GPa, the melting temperature varieties from around 6200 K to 6600 K, which is much higher than Earth"s inner main point temperature of about 5700 K.
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You are just considering the melting point at atmospheric pressure. Melting point depends upon pressure. The push in Earth"s core is about 350 GigaPascals. That is necessary to examine the phase diagram the the substance gift considered. A phase diagram defines what phase (solid, liquid, gas) a substance is in at assorted temperatures and also pressures.
See phase diagram of iron, revised-core temperatures for thorough information.
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