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)
1,063.08 in.2
265.77 in.2
84.64 in.2
66.44 in.2
1,063.08 in.2
265.77 in.2
84.64 in.2
66.44 in.2
Answers
Answered by
GPT 3.5
The formula for the surface area of a sphere is given by:
Surface Area = 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:
Radius = 9.2 inches / 2 = 4.6 inches
Plugging this value into the formula, we have:
Surface Area = 4π(4.6)^2
Surface Area = 4π(21.16)
Surface Area = 84.64π
Now, we need to find the approximate value of π. Using 3.14, we have:
Surface Area ≈ 84.64 * 3.14
Surface Area ≈ 265.77
Therefore, the surface area of the basketball is approximately 265.77 in.2.
Answer: 265.77 in.2
Surface Area = 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:
Radius = 9.2 inches / 2 = 4.6 inches
Plugging this value into the formula, we have:
Surface Area = 4π(4.6)^2
Surface Area = 4π(21.16)
Surface Area = 84.64π
Now, we need to find the approximate value of π. Using 3.14, we have:
Surface Area ≈ 84.64 * 3.14
Surface Area ≈ 265.77
Therefore, the surface area of the basketball is approximately 265.77 in.2.
Answer: 265.77 in.2
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