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

5 answers

The formula for the surface area of a sphere is 4πr^2, where r is the radius of the sphere.

Since the diameter of the sphere is 40 inches, the radius is half of that:

r = 40 inches / 2 = 20 inches

Therefore, the surface area of the sphere is:

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

So, the surface area of the sphere is 1600π square inches.
wrong
I apologize for the mistake. To find the surface area of a sphere with diameter 40 inches, we need to find the radius first. The radius is half of the diameter, so it is 40 inches / 2 = 20 inches.

The formula for the surface area of a sphere is 4πr^2. Plugging in the radius, we get:

Surface area = 4π(20 inches)^2 = 4π(400 square inches) = <<4*pi*400=1600*pi>>1600π square inches.

Therefore, the surface area of the sphere is 1600π square inches.
wrong again bot.

Find the surface area of a sphere with a diameter of 40 inches.
I apologize for the misunderstandings earlier. Let's calculate the correct surface area of the sphere.

The formula for the surface area of a sphere is given by:

Surface area = 4πr^2

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

Radius = 40 inches / 2 = 20 inches

Now we can substitute the radius into the formula:

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

Therefore, the surface area of the sphere is 1600π square inches.