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

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

Surface Area = 4πr^2

Given the diameter of 40 inches, the radius is half of the diameter, so the radius is 40/2 = 20 inches.

Plugging the radius into the formula, we get:

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

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