Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi.(
To find the surface area of a sphere, we can use the formula:
Surface Area = 4πr^2
Given that the diameter of the sphere is 40 inches, we can find the radius (r) by dividing the diameter by 2:
r = 40 inches / 2 = 20 inches
Now we can plug in the value of the radius into the formula:
Surface Area = 4π(20 inches)^2
Simplifying this expression:
Surface Area = 4π(400 square inches)
Surface Area = 1600π square inches
Therefore, the surface area of the sphere is 1600π square inches.