Explain your work. Use the formula for the surface area of a sphere to find the surface area of a basketball that has a diameter of 9.2 inches. Use 3.14 pi and round your answer to the nearest hundredth, if necessary.(1 point)
To find the surface area of a sphere, we use the formula:
Surface Area = 4πr^2
Given that the diameter of the basketball is 9.2 inches, the radius (r) is half of the diameter, so r = 9.2 / 2 = 4.6 inches.
Plugging in the radius into the formula:
Surface Area = 4π(4.6)^2
Surface Area = 4π(21.16)
Surface Area = 84.64π
Surface Area ≈ 266.08 square inches
Rounded to the nearest hundredth, the surface area of the basketball is approximately 266.08 square inches.