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

2,826π in.2
2,826 pi inches squared

225π in.2
225 pi inches squared

900π in.2

Answer 1

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

\[
A = 4\pi r^2
\]

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

Given that the diameter of the sphere is 30 inches, we can find the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{30 \text{ in}}{2} = 15 \text{ in}
\]

Now, we can plug the radius into the surface area formula:

\[
A = 4\pi (15 \text{ in})^2
\]
\[
A = 4\pi (225 \text{ in}^2)
\]
\[
A = 900\pi \text{ in}^2
\]

So the surface area of the sphere is \( 900\pi \) square inches.

Thus, the correct answer is:

**900π in.²**