Answer:

A. 181.51 dm³

Step-by-step explanation:

Solution:

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.

Given, radius of the volleyball = 4 1/2 decimeter = 4.5 decimeter

Substituting the value of radius in the formula, we get

V = (4/3)π(4.5)³

V = (4/3)π(91.125)

V = 4.18879(91.125)

V = 381.51 dm³

Therefore, the volume of the volleyball is 181.51 dm³, which is option A.