Question

What is the surface area of a sphere with a diameter of 12 centimeters ?

Answer 1

Answer is provided in the image attached.

Answer 2

`A=452.39\ cm^2`

Explanation:

The formula to calculate the surface area of a sphere is the following:

`A=4\pi r^2`

Where A is the area of the sphere and r is the radius of the sphere.

In this case we know that the diameter d of the sphere is:

`d = 12\ cm`

The diameter is:

`d = 2r`.

Thus

`r = (d)/(2)\\\\r = (12)/(2)\\\\r=6\ cm`

Then the surface area of the sphere is:

`A=4\pi (6)^2\\\\A = 144\pi\ cm^2\\\\A=452.39\ cm^2`