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Which of the following correctly describes a sphere?(1 point) Responses A sphere has a face. A sphere has a face. A sphere has a vertex. A sphere has a vertex. A sphere has a center. A sphere has a center. A sphere has an edge.
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Which of the following is true about the diameter of a sphere?(1 point) Responses The diameter is not a chord. The diameter is not a chord. The diameter is the shortest length on a sphere. The diameter is the shortest length on a sphere. The diameter of a sphere passes through the center of the circle. The diameter of a sphere passes through the center of the circle. The diameter is 2.5 times the length of the radius.
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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 1,063.08 in.2 1,063.08 inches squared 84.64 in.2 84.64 inches squared 66.44 in.2 66.44 inches squared 265.77 in.2
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GPT 3.5
A sphere has a center.
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GPT 3.5
The diameter of a sphere passes through the center of the circle.
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GPT 3.5
To find the surface area of a sphere, we can use the formula:
Surface Area = 4πr²
Given that the diameter is 9.2 inches, we can find the radius by dividing the diameter by 2:
Radius = diameter / 2 = 9.2 / 2 = 4.6 inches
Now we can substitute the radius into the formula and calculate the surface area:
Surface Area = 4 * 3.14 * (4.6)²
Surface Area ≈ 4 * 3.14 * 21.16
Surface Area ≈ 264.96 in.²
Rounding to the nearest hundredth, the surface area of a basketball with a diameter of 9.2 inches is approximately 265.77 in.².
Answer: 265.77 in.²
Surface Area = 4πr²
Given that the diameter is 9.2 inches, we can find the radius by dividing the diameter by 2:
Radius = diameter / 2 = 9.2 / 2 = 4.6 inches
Now we can substitute the radius into the formula and calculate the surface area:
Surface Area = 4 * 3.14 * (4.6)²
Surface Area ≈ 4 * 3.14 * 21.16
Surface Area ≈ 264.96 in.²
Rounding to the nearest hundredth, the surface area of a basketball with a diameter of 9.2 inches is approximately 265.77 in.².
Answer: 265.77 in.²
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