Question

what is the surface area of a sphere with a radius of 12 units?
a. 144π units²
b. 576 units²
c. 576π units²
d. 288π units²

Explanation:

Step1: Recall surface - area formula

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

Step2: Substitute the given radius

Given $r = 12$ units. Substitute $r = 12$ into the formula: $A=4\pi\times(12)^{2}$.

Step3: Calculate the value

First, calculate $(12)^{2}=144$. Then, $4\pi\times144 = 576\pi$ square units.

Answer:

C. $576\pi$ units$^{2}$