What is the surface area of a sphere in square cm if the radius is 4 cm?

Study for the ABSA 4th Class Power Engineer Test. Explore questions with hints and explanations. Get ready to ace the exam!

To determine the surface area of a sphere, you can use the formula:

Surface Area = 4πr²

where "r" is the radius of the sphere. Given that the radius is 4 cm, we can calculate the surface area step by step.

First, substitute the radius into the formula:

Surface Area = 4π(4 cm)²

Surface Area = 4π(16 cm²)

Surface Area = 64π cm²

Next, to find the numerical value, you can use an approximate value for π, which is about 3.14:

Surface Area ≈ 64 × 3.14 cm²

Surface Area ≈ 200.96 cm²

When rounded off, this value is approximately 201.06 cm².

Thus, the correct choice aligns closely with this value, making it reasonable to conclude that the surface area of the sphere is best represented by the choice that matches this figure, which is 201.062 square centimeters.

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