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
The formula for the surface area of a sphere is:
Surface Area = 4πr^2
We are given the diameter of the basketball, which is 9.2 inches. To find the radius, we divide the diameter by 2:
Radius = 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 square inches)
Surface Area = 84.64π square inches
Using 3.14 as an approximation for π, we can calculate the surface area:
Surface Area ≈ 84.64 * 3.14 square inches
Surface Area ≈ 265.94 square inches
Rounded to the nearest hundredth, the surface area of the basketball is 265.94 square inches.