Final answer:
The surface area of a playground ball with a diameter of 8 inches is approximately 200 square inches when rounded to the nearest ten.
Step-by-step explanation:
To calculate the surface area of a ball with a diameter of 8 inches, we use the formula for the surface area of a sphere, which is 4πr², where π is approximately 3.14 and r is the radius. Since the diameter is 8 inches, the radius is half that, which is 4 inches. Plugging the values into the formula gives us:
Surface Area = 4π(4 inches)²
≈ 4π(16 inches²)
≈ 4 × 3.14 × 16 inches²
≈ 201.06 inches²
We round this to the nearest ten to get a surface area of approximately 200 square inches.