Question

Find the surface area of the sphere. Leave your answer in the terms of pi.
Diameter: 8 mm

Answer 1

To find the surface area of a sphere, we use the formula:

\[
\text{Surface Area} = 4 \pi r^2
\]

where \( r \) is the radius of the sphere.

Given that the diameter of the sphere is 8 mm, we can calculate the radius by dividing the diameter by 2:

\[
r = \frac{8 \text{ mm}}{2} = 4 \text{ mm}
\]

Now we can substitute the radius into the surface area formula:

\[
\text{Surface Area} = 4 \pi (4 \text{ mm})^2
\]

Calculating \( (4 \text{ mm})^2 \):

\[
(4 \text{ mm})^2 = 16 \text{ mm}^2
\]

Now, substituting back into the surface area formula:

\[
\text{Surface Area} = 4 \pi \times 16 \text{ mm}^2 = 64 \pi \text{ mm}^2
\]

Thus, the surface area of the sphere is

\[
\boxed{64\pi \text{ mm}^2}
\]