Final answer:
The surface area of a basketball with a 9.2-inch diameter, using the formula 4 π r², is 265.77 inches squared when rounded to the nearest hundredth.
Step-by-step explanation:
To find the surface area of a basketball with a diameter of 9.2 inches, we use the formula for the surface area of a sphere, which is 4 π r². First, we find the radius by dividing the diameter by 2, so r = 9.2 inches / 2 = 4.6 inches. Then we plug the radius into the formula.
The calculation is as follows:
Surface Area = 4 π (4.6 inches)² = 4 × 3.14 × (4.6 inches)² = 4 × 3.14 × 21.16 inches² = 265.7624 inches²
Rounded to the nearest hundredth, the surface area is 265.77 inches squared.