Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi
The formula for the surface area of a sphere is given by:
Surface Area = 4πr²
Since the diameter of the sphere is given as 40 inches, the radius (r) is half of the diameter, which is 20 inches.
Substituting the value of the radius into the formula:
Surface Area = 4π(20)²
Simplifying:
Surface Area = 4π(400)
Surface Area = 1600π
Therefore, the surface area of the sphere is 1600π square inches.