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 answer

The formula for the surface area of a sphere is given by:

Surface Area = 4πr^2

Where r is the radius of the sphere. Since the diameter of the basketball is 9.2 inches, the radius would be half of that, which is:

r = 9.2 / 2 = 4.6 inches

Plugging this value into the formula, we get:

Surface Area = 4π(4.6)^2
Surface Area ≈ 4π(21.16)
Surface Area ≈ 4(3.14)(21.16)
Surface Area ≈ 84.64π

Using 3.14 as an approximation for π, we can calculate the actual value:

Surface Area ≈ 84.64(3.14)
Surface Area ≈ 265.8016

Rounding to the nearest hundredth, the surface area of the basketball is approximately 265.80 square inches.