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find the surface area of a sphere with a diameter of 30 in
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GPT 3.5
The formula to calculate the surface area of a sphere is 4πr², where r is the radius of the sphere. Given that the diameter (d) of the sphere is 30 inches, we can find the radius (r) by dividing the diameter by 2.
r = d/2 = 30/2 = 15 inches
Now, we can substitute the radius into the surface area formula:
Surface Area = 4πr²
Surface Area = 4π(15²)
Surface Area = 4π(225)
Surface Area ≈ 4π(225) [Using an approximate value of π = 3.14]
Surface Area ≈ 4(3.14)(225)
Surface Area ≈ 3.14 * 900
Surface Area ≈ 2826 square inches
Therefore, the surface area of a sphere with a diameter of 30 inches is approximately 2826 square inches.
r = d/2 = 30/2 = 15 inches
Now, we can substitute the radius into the surface area formula:
Surface Area = 4πr²
Surface Area = 4π(15²)
Surface Area = 4π(225)
Surface Area ≈ 4π(225) [Using an approximate value of π = 3.14]
Surface Area ≈ 4(3.14)(225)
Surface Area ≈ 3.14 * 900
Surface Area ≈ 2826 square inches
Therefore, the surface area of a sphere with a diameter of 30 inches is approximately 2826 square inches.
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