What is the surface area in square cm of a sphere if the radius is 6 cm?

To determine the surface area of a sphere, the formula used is ( A = 4\pi r^2 ), where ( r ) represents the radius of the sphere. In this case, the radius provided is 6 cm.

Calculating the surface area using the given radius involves plugging the value into the formula:

1. First, calculate ( r^2 ), which is ( 6^2 = 36 ).

2. Then, multiply by ( 4\pi ):

[ A = 4\pi \times 36 ]

[ A = 144\pi ]

Using the approximate value of ( \pi ) (3.14159), we can continue the calculation:

[ A \approx 144 \times 3.14159 \approx 452.389 , \text{cm}^2 ]

This calculation shows the surface area of the sphere is approximately 452.389 square centimeters, confirming that the correct answer aligns with the calculated value. The other options presented do not match this calculation, indicating they are incorrectly representing the surface area based on the values operated on in the formula.