Question

Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi.

Answer 1

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

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

where \( r \) is the radius of the sphere. Given that the diameter is 40 inches, the radius \( r \) can be calculated as:

\[
r = \frac{\text{diameter}}{2} = \frac{40}{2} = 20 \text{ inches}
\]

Now, substituting the radius into the surface area formula:

\[
\text{Surface Area} = 4\pi (20)^2
\]

Calculating \( (20)^2 \):

\[
(20)^2 = 400
\]

Now substituting back into the surface area calculation:

\[
\text{Surface Area} = 4\pi \times 400 = 1600\pi
\]

Thus, the surface area of the sphere is

\[
\boxed{1600\pi} \text{ square inches.}
\]

Answer 2

that wrong