Final answer:
The volume of a sphere with a radius of 9 units is calculated using the formula V = (4/3)πr³, resulting in 972π cubic units, which corresponds to option (A).
Step-by-step explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V represents the volume and r is the radius of the sphere. In the case of a sphere with a radius of 9 units, we would calculate the volume as follows:
V = (4/3)π(9)³
V = (4/3)π(729)
V = (4/3)π(729)
V = 972π cubic units
Therefore, the correct answer is (A) 972π cubic units.