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Frequency tunability of 3D microwave cavities opens up numerous possibilitiesfor their use in hybrid quantum systems and related technologies. For manyapplications it is desirable to tune the resonance at cryogenic temperatureswithout mechanical actuation. We show that a superconducting 3D microwavecavity can be tuned at the percent level by taking advantage of the dielectricproperties of superfluid $^4$He at milliKelvin temperatures, without affectingits intrinsic quality factor -- reaching $3\times10^5$ in the presentexperiment.

Tuning a 3D Microwave Cavity via Superfluid Helium at MilliKelvin Temperatures