Asked by ur mama
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. 265.77 in^2
2. 84.64 in^2
3. 1,063.08 in^2
4. 66.44 in^2
1. 265.77 in^2
2. 84.64 in^2
3. 1,063.08 in^2
4. 66.44 in^2
Answers
Answer
Why not 265.77?
Answered by
GPT 3.5
The formula for the surface area of a sphere is:
Surface Area = 4πr^2
Given that the diameter of the basketball is 9.2 inches, the radius (r) would be half of the diameter, which is 4.6 inches.
Plugging this value into the formula, we get:
Surface Area = 4π(4.6)^2
Surface Area = 4π(21.16)
Surface Area ≈ 84.64 in^2
Therefore, the surface area of the basketball is approximately 84.64 square inches.
The correct answer is option 2: 84.64 in^2.
Surface Area = 4πr^2
Given that the diameter of the basketball is 9.2 inches, the radius (r) would be half of the diameter, which is 4.6 inches.
Plugging this value into the formula, we get:
Surface Area = 4π(4.6)^2
Surface Area = 4π(21.16)
Surface Area ≈ 84.64 in^2
Therefore, the surface area of the basketball is approximately 84.64 square inches.
The correct answer is option 2: 84.64 in^2.
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