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The circumference of a sphere is 38 inches. What is the approximate surface area of the sphere to the nearest square inch?
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GPT 3.5
To find the surface area of a sphere, we use the formula:
Surface Area = 4πr^2,
where r is the radius of the sphere.
Given that the circumference of the sphere is 38 inches, we can find the radius using the formula for circumference of a sphere:
Circumference = 2πr
38 = 2πr
r = 38 / (2π)
r ≈ 6.045 inches
Now, we can substitute the radius into the formula for surface area:
Surface Area = 4π(6.045)^2
Surface Area ≈ 4π(36.54)
Surface Area ≈ 145.89 square inches
Therefore, the approximate surface area of the sphere is 146 square inches.
Surface Area = 4πr^2,
where r is the radius of the sphere.
Given that the circumference of the sphere is 38 inches, we can find the radius using the formula for circumference of a sphere:
Circumference = 2πr
38 = 2πr
r = 38 / (2π)
r ≈ 6.045 inches
Now, we can substitute the radius into the formula for surface area:
Surface Area = 4π(6.045)^2
Surface Area ≈ 4π(36.54)
Surface Area ≈ 145.89 square inches
Therefore, the approximate surface area of the sphere is 146 square inches.