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 poin

1 answer

The formula for the surface area of a sphere is A = 4πr^2, where r is the radius of the sphere.

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.

Calculating the expression inside the parentheses: A = 4π(21.16).

Multiplying by 4 and π: A = 84.64π.

Using the value of π as 3.14, we can calculate the numerical value: A = 84.64 * 3.14 ≈ 265.77.

Therefore, the surface area of the basketball is approximately 265.77 square inches.