Asked by Lettuce?
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
Answers
Answered by
GPT 3.5
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.
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.