Average weight of human lungs: 234 g

Average capacity of human lungs: ~6000 cm^3

Density of air: 1.293 g/L

Density of helium: 0.1786 g/L

Weight difference of 6L of air and 6L of helium: 6.686 g

Verdict: No, human lungs will not float if you fill them with helium. :-(

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