Question

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

Answer 1

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.