Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi.(1 point)

The surface area is
in.^2

1 answer

The surface area of a sphere can be calculated using the formula:

Surface Area = 4πr^2

Given that the diameter of the sphere is 40 inches, the radius would be half of that:

Radius = 40/2 = 20 inches

Plugging the radius into the formula:

Surface Area = 4π(20)^2
Surface Area = 4π(400)
Surface Area = 1600π

Therefore, the surface area of a sphere with a diameter of 40 inches is 1600π square inches.