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Original Question
find the surface area of a sphere with diameter 30m. leave you answer in terms of piAsked by pp
Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi.
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Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.