Find the surface area of a sphere in square cm with a radius of 7 cm.

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

To find the surface area of a sphere, the formula used is ( S = 4\pi r^2 ), where ( S ) represents the surface area and ( r ) is the radius of the sphere.

Given a radius of 7 cm, the calculation would be as follows:

  1. Square the radius: ( r^2 = 7^2 = 49 ).

  2. Multiply by ( 4\pi ):

  • ( S = 4 \times \pi \times 49 ).

  • Using ( \pi \approx 3.14159 ), this becomes ( S = 4 \times 3.14159 \times 49 ).

  • This results in ( S \approx 4 \times 3.14159 \times 49 \approx 615.752 ) square centimeters.

This calculation confirms that the surface area of a sphere with a radius of 7 cm is approximately 615.752 square centimeters. Therefore, the correct answer is consistent with the direct application of the spherical surface area formula. The other choices represent values that do not align with the calculations of the surface area for the given radius.

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