Question

Find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi.(1 point) Responses 3,600π in.2 3,600 pi inches squared 900π in.2 900 pi inches squared 2,826π in.2 2,826 pi inches squared 225π in.2

Answer 1

To find the surface area of a sphere, we can 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 30 inches, we can find the radius:

\[
r = \frac{\text{Diameter}}{2} = \frac{30}{2} = 15 \text{ inches}
\]

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

\[
\text{Surface Area} = 4\pi (15)^2
\]

Calculating \( (15)^2 \):

\[
(15)^2 = 225
\]

Now substituting back into the surface area formula:

\[
\text{Surface Area} = 4\pi (225) = 900\pi \text{ in}^2
\]

Thus, the surface area of the sphere is:

\[
\boxed{900\pi \text{ in}^2}
\]