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
1,063.08 in.2
1,063.08 inches squared
84.64 in.2
84.64 inches squared
66.44 in.2
The formula for the surface area of a sphere is:
A = 4πr^2
Given that the diameter of the basketball is 9.2 inches, we can find the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches
Now, we can substitute the value of the radius into the formula:
A = 4π(4.6)^2
A = 4π(21.16)
A = 84.64 π
Using the value of pi as 3.14, we can calculate the surface area:
A = 84.64 * 3.14
A ≈ 265.77 in²
So, the surface area of the basketball is approximately 265.77 square inches.