Calculating Sphere Surface Area

To find the surface area of a sphere, we use a specific formula that relates the area to the sphere's radius.

Given Information

The radius ($r$) of the sphere is given as 16 cm.

Surface Area Formula

The formula for the surface area ($A$) of a sphere is:

$ A = 4\pi r^2 $

Calculation Steps

1. Substitute the given radius ($r = 16$ cm) into the formula:

   $ A = 4\pi (16 \text{ cm})^2 $

2. Calculate the square of the radius:

   $ (16 \text{ cm})^2 = 256 \text{ cm}^2 $

3. Multiply the result by $4\pi$:

   $ A = 4\pi \times 256 \text{ cm}^2 $

   $ A = 1024\pi \text{ cm}^2 $

Final Answer

The surface area of the sphere is $1024\pi \text{ cm}^2$. This corresponds to Option 4.