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
66.44 in.2
66.44 inches squared
1,063.08 in.2
1,063.08 inches squared
84.64 in.2
To find the surface area of a sphere, you can use the formula:
Surface Area = 4πr^2
Given that the diameter of the basketball is 9.2 inches, we can first find the radius (r) by dividing the diameter by 2:
r = 9.2 inches / 2 = 4.6 inches
Now we can substitute the value of the radius into the formula:
Surface Area = 4π(4.6 inches)^2
Surface Area = 4π(21.16 inches^2)
Surface Area ≈ 266.78 inches^2
Rounding to the nearest hundredth, the surface area of the basketball is approximately 266.78 inches^2.
Therefore, the correct answer is:
265.77 in.2