Mathematics

Question

What is the surface area of a sphere with a diameter of 16 cm?

A. 1,024n cm²

B. 32n cm²

C. 256n cm²

D. 128n cm²

2 Answer

  • C is the correct answer
  • 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.