Final answer:
The volume of a sphere with a 12 cm diameter is approximately 904.78 cubic centimeters, calculated using the formula V = (4/3)πR³ with a radius of 6 cm.
Step-by-step explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πR³, where R is the radius of the sphere. Given that the diameter of the ball is 12 centimeters, the radius would be half that, which is 6 centimeters. Therefore, to find the volume of the ball in cubic centimeters, we substitute the radius (6 cm) into the formula:
V = (4/3)π(6 cm)³ = (4/3)π(216 cm³) = 288π cm³
This will give us a volume of approximately 904.7786842338603 cubic centimeters when we calculate 288π cm³. This is the closest measurement to the volume of the ball in cubic centimeters.