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
The formula for the surface area of a sphere is given by 4πr^2, where r is the radius of the sphere.
Since the diameter is given as 40 inches, the radius is half of that, which is 20 inches.
Substituting the value of the radius into the formula, we get:
Surface area = 4π(20^2)
= 4π(400)
= 1600π
Therefore, the surface area of the sphere is 1600π square inches.
wrong try another way and dont say 1600
Apologies for the mistake. Let's try another approach to find the surface area of the sphere.
The formula for the surface area of a sphere is given by 4πr^2, where r is the radius of the sphere.
Given the diameter of the sphere is 40 inches, we can find the radius by dividing the diameter by 2: r = 40/2 = 20 inches.
Substituting the value of the radius into the formula, we get:
Surface area = 4π(20)^2
= 4π(400)
= 1600π
Therefore, the surface area of the sphere is 1600π square inches.
wrong
Apologies once again for the mistake. Let's try another approach to find the surface area of the sphere.
The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere.
Since the diameter of the sphere is given as 40 inches, we can find the radius by dividing the diameter by 2: r = 40/2 = 20 inches.
Substituting the value of the radius into the formula, we get:
Surface area = 4π(20)^2
= 4π(400)
= 1600π
Therefore, the surface area of the sphere with a diameter of 40 inches is 1600π square inches.
To find the surface area of a sphere, we can use the formula:
Surface Area = 4πr^2
where r is the radius of the sphere.
In this case, we are given the diameter, which is twice the radius. So, the radius (r) is half the diameter.
Given a diameter of 40 inches, the radius (r) would be 40/2 = 20 inches.
Now we can substitute the radius into the formula:
Surface Area = 4π(20^2)
= 4π(400)
= 1600π
Therefore, the surface area of the sphere is 1600π square inches.