Final answer:
The volume of a volleyball with an 8-inch diameter is calculated using the formula for sphere volume (4/3 pi r^3), which gives approximately 268 cubic inches. Option D is the correct choice.
Step-by-step explanation:
To find the volume of a volleyball with a diameter of 8 inches, we first need to calculate its radius. The radius is half the diameter, so the radius is 4 inches. The formula for the volume of a sphere is:
V = 4/3 pi r^3
Plugging in our values, we get:
V = 4/3 × pi × 4^3
V = 4/3 × pi × 64
V = 4/3 × 3.14159 × 64
V ≈ 268.08257 cubic inches
Round our answer to the nearest cubic inch, we get 268 cubic inches. Therefore, the closest option is D. 268 cubic inches.