To find the volume of a volleyball ball with a radius of 4.5 decimeters, you can use the formula for the volume of a sphere:
1. Calculate the volume using the formula V = (4/3)πr³, where r is the radius of the sphere.
2. Convert the radius from decimeters to centimeters for consistency in units.
Given:
Radius, r = 4.5 dm
Converting the radius to centimeters:
1 decimeter = 10 centimeters
4.5 dm * 10 = 45 cm
Now, plug the radius into the formula:
V = (4/3) * π * (45)³
V ≈ (4/3) * 3.1416 * 91125
V ≈ 381510 cm³
Therefore, the correct volume of the volleyball ball is approximately 381,510 cm³. The option closest to this answer is A. 381.51 dm³.
