Botanically, the silver dollar eucalyptus is known as the Eucalyptus cinerea. It is also referred to as the Argyle apple and mealy stringybark. This fast growing tree is drought and heat tolerant. While this tree can grow up to 40 feet tall, it will stay smaller in small spaces. The blue green leaves hold the scented oil that gives the tree its lovely smell. The silver dollar eucalyptus has pretty white flowers, attractive bark, and distinctive foliage.