Final answer:
The rate of change of the radius can vary as the sphere's radius approaches zero or infinity, depending on the material.
Step-by-step explanation:
When a large sphere of material is placed in a dissolving liquid, the rate of change of the radius depends on the behavior of the material. As the radius approaches zero (r → 0), the rate of change of the radius may increase or decrease, depending on the specific properties of the material. Similarly, as the radius approaches infinity (r → ∞), the rate of change of the radius can vary depending on the material.