Find the surface area of a sphere with a diameter of 12 m
1.452.2 m2
2. 150.7 m2
3. 113.0 m2
4. 904.3 m2
4. 904.3 m2
The formula for surface area of a sphere is A = 4πr^2, where r is the radius of the sphere. Since the diameter is given, we can find the radius by dividing it by 2:
r = d/2 = 12/2 = 6 m
Substituting this value into the formula gives:
A = 4π(6^2) = 4π(36) = 144π ≈ 904.3 m2
To find the surface area of a sphere, you can use the formula:
Surface Area = 4πr^2
Given that the diameter of the sphere is 12 m, we can calculate the radius:
Radius = Diameter/2 = 12/2 = 6 m
Now substitute the value of the radius into the formula:
Surface Area = 4π(6^2)
Surface Area = 4π(36)
Surface Area = 144π
Approximating the value of π to 3.14, we have:
Surface Area ≈ 144 * 3.14
Surface Area ≈ 452.16 m^2
Rounding to one decimal place, the surface area of the sphere is approximately 452.2 m^2.
Therefore, the correct answer is 1. 452.2 m^2.