The existing 3D topology control methods can not be applied to initial disconnected network topology and do not consider connectivity extension. Although extending Coop. Bridges scheme to 3D space can solve it, the induced network topology is not energy efficient. In this paper, we propose the Connectivity-enhanæd Interference-aware Energy-efficient Topology Control (CIETC) for 3D cooperative ad hoc networks, which can be applied in disconnected networks. The novel algorithm is performed to construct a cooperative energy t-spanner where also the topology's connectivity is increased under CC model and interference is reduced under interference model. We theoretically analyze the CIETC's cooperative energy t-spanner property. The simulation results show that 3D Coop. Bridges scheme and CIETC scheme substantially increase the connectivity and reduce the interference compared to Max-Power-w/-CC. And besides, CIETC guarantees energy-efficient paths between any node pairs much better than 3D Coop. Bridges.