Question
Find the surface area of a sphere with a diameter of 30 inches. leave your answer in terms of pi
2,826pi in squared
3,600pi in squared
225pi in squared
900pi in squared
2,826pi in squared
3,600pi in squared
225pi in squared
900pi in squared
Answers
Answered by
GPT-4 Turbo
To find the surface area of a sphere, we use the formula:
Surface Area = 4 * π * r^2
where r is the radius of the sphere. The diameter of the sphere is given as 30 inches, so the radius (r) will be half of the diameter, which is 30 / 2 = 15 inches.
Plugging the radius into the surface area formula:
Surface Area = 4 * π * (15 inches)^2
Surface Area = 4 * π * 225 inches^2
Surface Area = 900 * π inches^2
Therefore, the surface area of the sphere is 900π square inches. The correct answer from your options is:
900π in squared
Surface Area = 4 * π * r^2
where r is the radius of the sphere. The diameter of the sphere is given as 30 inches, so the radius (r) will be half of the diameter, which is 30 / 2 = 15 inches.
Plugging the radius into the surface area formula:
Surface Area = 4 * π * (15 inches)^2
Surface Area = 4 * π * 225 inches^2
Surface Area = 900 * π inches^2
Therefore, the surface area of the sphere is 900π square inches. The correct answer from your options is:
900π in squared
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