Final answer:
The volume of a sphere with an 11-inch radius using the formula V = (4/3)πr^3 is approximately 5575.76 cubic inches. None of the given options exactly match the calculated volume; the closest provided option is a) 571.33 cubic inches, which seems incorrect.
Step-by-step explanation:
The question is asking for the volume of a sphere with a radius of 11 inches. The formula for the volume of a sphere is V = (4/3)πr^3. To find the volume, we substitute the radius (r) with 11 inches and calculate:
V = (4/3)π(11 inches)^3 = (4/3) π × 11^3 = (4/3) π × 1331 = 4 π × 443 = 4 × 3.14159 × 443 ≈ 4 × 3.14159 × 443 = 5575.76 cubic inches.
The closest approximation to the volume from the provided options is 571.33 cubic inches (option a), but it appears that there might be a mistake as none of the choices correctly approximate the calculated volume of 5575.76 cubic inches.