Question

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

Answer 1

The surface area of a sphere with a diameter of 30 inches is 900π inches squared, using the formula for the surface area of a sphere, which iss 4 (pi) (r)²

Step-by-step explanation:

To find the surface area of a sphere with a given diameter, we can use the formula for the surface area of a sphere, which is 4 (pi) (r)², where r is the radius of the sphere. Since the diameter of the sphere is 30 inches, the radius would be half of that, which is 15 inches. Plugging the radius into the formula we get:

Surface area = 4 (pi) (15 inches)² = 4 (pi) (225 inches²) = 900 (pi) inches squared.

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