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)

Question

Responses

1,063.08 in.2
1,063.08 inches squared

66.44 in.2
66.44 inches squared

265.77 in.2
265.77 inches squared

84.64 in.2

Answer 1

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 find the radius by dividing the diameter by 2:

Radius = 9.2 inches / 2 = 4.6 inches

Now, we can substitute the radius into the formula:

Surface Area = 4 * 3.14 * (4.6 inches)^2
Surface Area = 4 * 3.14 * 21.16 inches^2
Surface Area = 84.64 inches^2

Therefore, the surface area of the basketball is approximately 84.64 in.².