29Interactions in which individuals benefit others at a cost to themselves are rife within the 30 animal kingdom 1 , from stalk cells in slime mold fruiting bodies 2 to social insect colonies where 31 sterile workers live for the queen 3 . The development of an egg cell occurs within similarly self-32 sacrificing communes. Across species, oocytes develop within cysts alongside nurse-like germ 33 cells; a key juncture in oogenesis occurs when these sister cells transport their cytoplasm to the 34 oocyte prior to fertilization 4,5 . As a result, the oocyte grows as its sister cells regress and die 6 . 35 Long observed in insects, recent work shows that development of the mammalian egg cell occurs 36 through similar intercellular transport processes 7,8 . Although critical for fertility and embryonic 37 life, the biological and physical mechanisms underlying such altruistic fluid transport remain 38 poorly understood, owing to a lack of time-resolved quantitative data. Here, we combined ex vivo 39 live imaging of germline cysts with mathematical modeling to investigate the dynamics and 40 mechanisms that enable directional and complete cytoplasmic transport in Drosophila 41 melanogaster egg chambers. We discovered that during 'nurse cell dumping', most cytoplasm is 42 transported into the oocyte independently of changes in myosin-II contractility, with dynamics 43 predicted by Young-Laplace's law, suggesting pressure-driven transport induced by baseline cell 44 surface tension. A minimal flow network model inspired by the famous two-balloon experiment 45 correctly predicts transport directionality and time scale. Long thought to trigger transport 46 through 'squeezing' 9,10 , increased actomyosin contractility is required only once cell volume is 47 reduced by ~75%, in the form of cell peristaltic contractile waves that permit continued flow. Our 48 work thus demonstrates how biological and physical mechanisms cooperate to enable proper cell 49 and tissue level behaviours during a conserved act of cytoplasmic transport in early development. 50 51 Main text 52The Drosophila oocyte develops within an egg chamber, a multicellular structure that comprises a 53 germline cyst of 16 cells that are interconnected through intercellular bridges called ring canals and 54 covered by an epithelium (Fig. 1a) [11][12][13] . After the oocyte grows to ~50% of the egg chamber's volume, all 55 15 sister germ cells, called nurse cells, transport the entirety of their contents directionally into the oocyte 56 in a process called 'nurse cell (NC) dumping'; with a diameter of ~10 µm, ring canals are large enough to 57 permit passage of most cytoplasmic contents ( Fig. 1b; Extended Data Fig. 1a; Supplementary Video 1) 14 . 58 It is thought that NC dumping is driven by global cortical contractile forces generated through interactions 59 of non-muscle myosin II (myosin) with actin filaments (henceforth actomyosin), i.e. through an increase in 60 pressure, cytoplasm is 'squeezed' out of the NCs and into the oocyte 9,10 . While mutants in ...