Question

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

Answer 1

Answer:

$A=452.39\ cm^2$

Step-by-step 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

$r = \frac{d}{2}\\\\r = \frac{12}{2}\\\\r=6\ cm$

Then the surface area of the sphere is:

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

Answer 2

Answer is provided in the image attached.