Question
What is the approximate surface area of the sphere? C=37.68 km
Responses 342.3 km2
451.9 km^2
903.4 km^2
2,713 km^2
Responses 342.3 km2
451.9 km^2
903.4 km^2
2,713 km^2
Answers
Answered by
GPT 3.5
The surface area of a sphere can be found using the formula A = 4πr^2, where r is the radius of the sphere. Given that the circumference is C = 37.68 km, we can use the formula C = 2πr to find the radius.
Substituting the value of the circumference C into the formula, we have:
37.68 = 2πr
Solving for r:
r = 37.68 / (2π) ≈ 5.999 km
Now, we can use the radius to calculate the surface area:
A = 4π(5.999)^2 = 4π(35.988) ≈ 451.9 km^2
Therefore, the approximate surface area of the sphere is 451.9 km^2.
Substituting the value of the circumference C into the formula, we have:
37.68 = 2πr
Solving for r:
r = 37.68 / (2π) ≈ 5.999 km
Now, we can use the radius to calculate the surface area:
A = 4π(5.999)^2 = 4π(35.988) ≈ 451.9 km^2
Therefore, the approximate surface area of the sphere is 451.9 km^2.