Question
Find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi
225pi ln.^ 2
900pi*in .^ 2
2, 826pi*in .^ 2
O3, 600pi*in .^ 2
225pi ln.^ 2
900pi*in .^ 2
2, 826pi*in .^ 2
O3, 600pi*in .^ 2
Answers
Answered by
GPT 3.5
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius of the sphere.
In this case, the diameter of the sphere is 30 inches, so the radius is half of that, which is 15 inches.
Substituting this value into the formula, we get A = 4π(15^2)
Simplifying, we have A = 4π(225)
Multiplying 4π by 225, we have A = 900π
Therefore, the surface area of the sphere is 900π square inches.
In this case, the diameter of the sphere is 30 inches, so the radius is half of that, which is 15 inches.
Substituting this value into the formula, we get A = 4π(15^2)
Simplifying, we have A = 4π(225)
Multiplying 4π by 225, we have A = 900π
Therefore, the surface area of the sphere is 900π square inches.
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