What is the surface area of a sphere with a radius of 5.5~cm^{\prime}
Select one:
a. 456.2~cm^{2}
b. 380.1~cm^{2}
c. 342.1~cm^{2}
d. 418.1~cm^{2}
The formula for the surface area of a sphere is given by:
Surface Area = 4πr^2.
Given that the radius is 5.5 cm, we can substitute this value into the formula to find the surface area.
Surface Area = 4π(5.5)^2 = 4π(30.25) = 121π.
To find an approximate value, we can use the approximation π ≈ 3.14.
Surface Area ≈ 121(3.14) = 379.94.
Rounding this value to the nearest tenth, we get:
Surface Area ≈ 380.1 cm².
Therefore, the correct answer is b. 380.1 cm^{2}.