Calculate the surface area of a sphere in square cm if the radius is 5 cm.

The surface area of a sphere is calculated using the formula:

[ \text{Surface Area} = 4 \pi r^2 ]

where ( r ) is the radius of the sphere. For this question, the radius is given as 5 cm.

First, calculate ( r^2 ):

[ r^2 = 5^2 = 25 , \text{cm}^2 ]

Then plug this value into the surface area formula:

[ \text{Surface Area} = 4 \pi \times 25 ]

[ \text{Surface Area} = 100 \pi ]

Next, using the approximate value of ( \pi ) as 3.14159, we can calculate:

[ \text{Surface Area} \approx 100 \times 3.14159 = 314.159 , \text{cm}^2 ]

Thus, the correct answer is 314.159 square cm, which corresponds to the option that states this value. This calculation showcases the relationship between the radius of a sphere and its surface area, reinforcing the importance of understanding both the formula and the concept of geometry involved in such problems.