Respuesta :
Answer:
The correct option is C. The surface area of a sphere is 256π cm².
Step-by-step explanation:
Given information: The diameter of the circle is 16 cm.
[tex]r=\frac{d}{2}=\frac{16}{2}=8[/tex]
Radius of the circle is 8 cm.
Surface area of a sphere is
[tex]A=4\pi r^2[/tex]
Where, r is radius.
[tex]A=4\pi (8)^2[/tex]
[tex]A=4\pi (64)[/tex]
[tex]A=256\pi[/tex]
The surface area of a sphere is 256π cm². Therefore the correct option is C.