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)
Responses
265.77 in.2
265.77 inches squared
84.64 in.2
84.64 inches squared
1,063.08 in.2
1,063.08 inches squared
66.44 in.2
66.44 inches squared
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, we can calculate the radius by dividing the diameter by 2: r = 9.2/2 = 4.6 inches.
Plugging this value into the formula, we get: surface area = 4π(4.6)^2.
Calculating this expression, we have: surface area ≈ 4π(21.16) ≈ 84.64 in^2.
Therefore, the surface area of the basketball is approximately 84.64 inches squared.