Final answer:
The volume of the plastic container is closest to option a, which is less than 10 cubic inches.
Step-by-step explanation:
In order to determine the volume of the plastic container, we need to calculate the volume of a racquetball and compare it to the given options. The volume of a sphere with a diameter of 2.25 inches can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter is given, we can divide it by 2 to find the radius.
Radius = 2.25 inches / 2 = 1.125 inches
Now we can calculate the volume:
V = (4/3)π(1.125 inches)^3
V ≈ 9.5106 cubic inches
From the given options, the volume of the plastic container is closest to option a, which is less than 10 cubic inches.