Question

what is the surface area of the sphere below? a. $125pi$ units$^2$ b. $100pi$ units$^2$ c. $125pi^3$ units$^2$ d. cannot be determined

Explanation:

Step1: Recall sphere surface area formula

The formula for the surface area of a sphere is $SA = 4\pi r^2$, where $r$ is the radius.

Step2: Identify the sphere's radius

From the diagram, the radius $r = 5$.

Step3: Substitute radius into formula

Substitute $r=5$ into the formula:
$SA = 4\pi (5)^2$

Step4: Calculate the final value

First compute $5^2 = 25$, then $4 \times 25 = 100$, so $SA = 100\pi$.

Answer:

B. $100\pi$ units$^2$