Available in 3 gallon, 7 gallon, 15 gallon and 25 gallon sizes. Scientific Name of Cocos nucifera (KO-kos noo-SI-fe-ra). Coconut Palms have been cultivated for so long and carried to tropical locations, their actual origin is unknown. Mature Coconut Palms can grow to 90-100 feet tall with 1-foot diameters. They can begin to bloom and flower at 3 feet of trunk. They are also extremely drought and salt-tolerant, making them ideal for areas near the shore. The Coconut Palm Tree is an icon of tropical landscape and provides large canopy shade. They require good air circulation and bright light.