ZnO nanorods (NRs) and nanotubes (NTs) have been synthesized by a hydrothermal method on Si substrates that had been precoated (by pulsed laser deposition (PLD)) with a thin ZnO film. High-resolution transmission electron microscopy and selected area electron diffraction analysis confirm that the NTs are ZnO single crystals and that their growth direction is along [0001] (the c-axis). Scanning electron microscopy points to the early-time formation of two classes of NRs on the PLD ZnO coating, one of which is longer and displays higher length/diameter aspect ratios than the other. The morphologies of NRs belonging to the first of these classes were seen to evolve with time, progressively tapering, and producing volcano-like surface structures that develop into NTs. In contrast, NRs belonging to the other (shorter) class retain their hexagonal cross-section and have flat tops. To explain these emergent structures and, in particular, the selective growth of ZnO NTs, we have undertaken a systematic investigation of the effects of different substrates (e. g., borosilicate glass, Pt-coated glass, and both bare and PLD ZnO-coated Si wafers) and of the reactive solution on the growth properties of ZnO NRs, NTs, and the ZnO nanopowders that precipitate from the reactive mixture. The experimental findings suggest the following ZnO NT growth mechanism. The PLD ZnO film consists of many nanocrystallites, with a preferred c-axis alignment. These serve to nucleate the hydrothermal growth of (c-axis aligned) NRs. The NRs are deduced to be Zn-polar, but can be either Zn-atom or O-atom terminated. It is proposed that the different surface terminations influence (by electrostatic interactions) the cation (Zn2+ and ZnOH+) to anion (OH-) concentration ratio in the double layer at the growing polar surface. Zn-atom termination causes a reduction in the local Zn2+/OH- (and ZnOH+/OH-) ratios (i. e., the extent of solution supersaturation) relative to those in the bulk solution, thereby encouraging tapered NR growth and, as the zinc concentration falls further, the emergence of volcano-like structures on the polar surface, which seed the subsequent growth of ZnO NTs.