Question

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

225π in.2
225 pi inches squared

900π in.2
900 pi inches squared

2,826π in.2
2,826 pi inches squared

3,600π in.2

Answer 1

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

Surface Area = 4πr^2

Given that the diameter of the sphere is 30 inches, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2 = 30 / 2 = 15 inches

Now we can substitute the radius into the formula:

Surface Area = 4π(15)^2 = 4π(225) = 900π in^2

Therefore, the surface area of the sphere is 900π in^2.