It was narrated from Shu'bah that Habib said:
"I heard 'Abbad bin Tamim narrate from my grandmother - who was Umm 'Umarah bint Ka'b - that the Prophet (ﷺ) performed Wudu', and he was brought a vessel in which there were two-thirds of a Mudd." Shu'bah said: "I remember that he washed his forearms and started rubbing them, and he wiped the inside of his ear, but I do not remember whether he wiped the outside of them."
Arabic/English book reference: Vol. 1, Book 1, Hadith 74