Final answer:
The surface area of a sphere with a diameter of 40 inches is 1600 π inches² when left in terms of pi.
Step-by-step explanation:
To find the surface area of a sphere with a given diameter, you can use the formula A = 4 π r², where A is the surface area, and r is the radius of the sphere. First, we need to find the radius of the sphere. Since the diameter is 40 inches, the radius is half of that, which is 20 inches.
Next, we substitute the radius into the formula for the surface area of a sphere:
A = 4 π (20 inches)²
A = 4 π (400 inches²)
A = 1600 π inches²
Therefore, the surface area of the sphere is 1600 π inches² when the answer is left in terms of pi.