Question

question 6 of 10
what is the surface area of a sphere with a radius of 16 units?

a. 288π units²

b. 1024 units²

c. 256π units²

d. 1024π units²

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 value

Substitute $r = 16$ into the formula:
$SA = 4\pi (16)^2$

Step3: Calculate the squared radius

$16^2 = 256$, so:
$SA = 4\pi \times 256$

Step4: Compute the final product

$4 \times 256 = 1024$, so:
$SA = 1024\pi$

Answer:

D. $1024\pi$ units$^2$