Find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi.(1 point)

Question

Responses

225π in.2
225 pi inches squared

900π in.2
900 pi inches squared

3,600π in.2
3,600 pi inches squared

2,826π in.2
2,826 pi inches squared

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 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 can calculate the surface area:

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

Thus, the surface area of the sphere is:

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

So the correct answer is \( 900\pi \text{ in}^2 \) (900 pi inches squared).