Question

question 8 of 10
the axis of the sphere below is 14 units in length. what is the surface area of
the sphere?
a. $256\pi$ units$^2$
b. $72\pi$ units$^2$
c. $196\pi$ units$^2$
d. cannot be determined

Explanation:

Step1: Find sphere radius

The axis (diameter) is 14, so radius $r = \frac{14}{2} = 7$

Step2: Apply surface area formula

Use sphere surface area formula $SA = 4\pi r^2$
Substitute $r=7$: $SA = 4\pi (7)^2 = 4\pi \times 49$

Step3: Calculate final value

$4 \times 49 = 196$, so $SA = 196\pi$

Answer:

C. $196\pi$ units$^2$