Question

what is the surface area of a sphere with radius 2? a. $16pi$ units$^2$ b. $2pi$ units$^2$ c. $8pi$ units$^2$ d. $4pi$ units$^2$

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: Substitute radius $r=2$

$$SA = 4\pi (2)^2$$

Step3: Calculate the squared radius

$$(2)^2 = 4$$

Step4: Compute final surface area

$$SA = 4\pi \times 4 = 16\pi$$

Answer:

A. $16\pi$ units$^2$