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

Question

Responses

3,600π in.2
3,600 pi inches squared

900π in.2
900 pi inches squared

225π in.2
225 pi inches squared

2,826π in.2

Answer 1

The surface area of a sphere with diameter d is given by the formula: SA = 4πr^2, where r is the radius of the sphere.

Since the diameter is 30 inches, the radius is half of that, which is 15 inches.

Plugging the radius value into the formula, we have:

SA = 4π(15)^2
SA = 4π(225)
SA = 900π in.2

So, the correct answer is:
900π in.2