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
1,063.08 in.2
1,063.08 inches squared
84.64 in.2
84.64 inches squared
265.77 in.2
265.77 inches squared
66.44 in.2
The formula for the surface area of a sphere is A = 4πr^2, where A is the surface area and r is the radius of the sphere.
Since the diameter of the basketball is 9.2 inches, the radius is half of that, which is 9.2/2 = 4.6 inches.
Substituting this value into the formula, we have A = 4π(4.6)^2.
Calculating this, we get A = 4π(21.16).
To find the surface area, we need to multiply by 4π:
A = 4(3.14)(21.16) = 265.76 inches squared.
Rounding to the nearest hundredth, the surface area of the basketball is approximately 265.77 in.2.
Therefore, the correct answer is 265.77 inches squared.