Final answer:
The volume of the air inside Lilah's basketball with a diameter of 10.5 inches is approximately 608.3 cubic inches, using the volume formula for a sphere and rounding to the nearest tenth.
Step-by-step explanation:
To calculate the volume of Lilah's basketball, which has a diameter of 10.5 inches, we need to use the formula for the volume of a sphere: V = (4/3)πr³. Since the diameter is 10.5 inches, the radius (r) is half of that: 5.25 inches. We will use 3.14 as an approximation for π.
Substituting the radius into the formula:
V = (4/3)×3.14×(5.25 inches)³
After calculating, we find that the volume (V) is approximately:
V ≈ (4/3)×3.14×(145.53 inches³)
V ≈ 608.3 inches³
Therefore, the volume of the air inside Lilah's basketball is approximately 608.3 cubic inches, rounded to the nearest tenth.