Final answer:
The volume of a sphere with a diameter of 17.0 units is approximately 2578.666 cubic units.
Step-by-step explanation:
The volume of a sphere can be calculated using the formula:
V = (4/3)πr³
In this case, the diameter of the sphere is given as 17.0 units. The radius can be calculated by dividing the diameter by 2:
Radius = Diameter / 2 = 17.0 / 2 = 8.5 units
Now, substitute this value into the formula:
V = (4/3)π(8.5)³
Simplify the expression:
V ≈ (4/3)π(614.125)
V ≈ 2578.666 cubic units
The volume of the sphere is approximately 2578.666 cubic units.