Final answer:
The surface area of a basketball with a diameter of 10 inches is 100π square inches.
Step-by-step explanation:
The surface area of a basketball can be calculated using the formula for the surface area of a sphere, which is 4πr², where r is the radius of the sphere. Since the diameter of the basketball is 10 inches, the radius is half of that, which is 5 inches.
Plugging the value of the radius into the formula, we get 4π(5)². Simplifying this expression, we have 4π(25), which is equivalent to 100π.
Therefore, the surface area of the basketball is 100π square inches, or approximately 314.16 square inches.
Learn more about Surface area of a sphere