Question

question 8 of 10 what is the surface area of the sphere below? a. 64π units² b. 512π units² c. 512π³ units² d. cannot be determined

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: Identify the radius

From the image, the radius $r = 4$.

Step3: Substitute the radius into the formula

Substitute $r = 4$ into $A = 4\pi r^{2}$, we get $A=4\pi\times4^{2}$.

Step4: Calculate the result

$4\pi\times4^{2}=4\pi\times16 = 64\pi$ square units.

Answer:

A. $64\pi$ units$^{2}$