Final answer:
To find the volume of Gina's beach ball, we use the volume formula for a sphere with a radius of 12 inches, derived from the given diameter of 24 inches. The calculated volume is approximately 7,238.9 cubic inches to the nearest tenth, which does not match any of the provided answer choices, suggesting there may be an error in the options given.
Step-by-step explanation:
Let's calculate the volume of Gina's beach ball which has a diameter of 24 inches. The formula to find the volume of a sphere is V = (4/3)πr3, where r is the radius. The radius is half of the diameter, so in this case, the radius (r) is 12 inches. Plugging in the values, we get V = (4/3)π(123) cubic inches.
Now we can calculate:
V = (4/3)π(12)3 ≈ (4/3)π(1,728) ≈ 4π(576) ≈ 7,238.9 cubic inches to the nearest tenth.
It seems none of the provided options (a) 9,027.6, (b) 9,072.8, (c) 9,276.0, (d) 9,276.4 cubic inches match our calculated volume. Therefore, there might be a typo in the question or the provided options.