Taking into account the effective mass approximation and the two-band model, we have studied the combined effects of hydrostatic pressure and temperature on the unbound excitonic properties of a cylinder-shaped quantum dot. The two finite confinement potentials along the radial direction and one finite confinement potential along the axial direction have been considered. We have calculated the electronic energy with and without light hole effect as a function of the core radius, hydrostatic pressure and temperature. The numerical results show that the effect of the confinement potential is dominant over the effect of the hydrostatic pressure and the temperature. Also, the light hole effect on the electronic properties has a significant influence mainly under the external perturbation