What is the surface area of a sphere with a radius of 4.1 cm?
a. 253.5 cm²
c. 232.4 cm²
b. 190.1 cm²
d. 211.2 cm²
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius of the sphere.
Substituting the given radius of 4.1 cm into the formula, we have A = 4π(4.1)^2 = 4π(16.81) = 67.24π cm².
Using a calculator to evaluate the value of π to two decimal places is 3.14, we have 67.24π ≈ 211.18 cm².
Rounding to the nearest tenth, the surface area of the sphere is approximately 211.2 cm², which corresponds to option d.