Final answer:
The surface area of a sphere with a diameter of 24 cm is approximately 1809.44 square centimeters.
Step-by-step explanation:
To find the surface area of a sphere, we can use the formula A = 4πr² where r is the radius of the sphere. Since the diameter is given as 24 cm, we can find the radius by dividing the diameter by 2, so r = 24/2 = 12 cm. Plugging this value into the formula, we have A = 4π(12)² = 4π(144) = 576π cm².
Using an approximation of π as 3.14, we can calculate the surface area as A ≈ 576(3.14) = 1809.44 cm². Therefore, the surface area of the sphere is approximately 1809.44 square centimeters.In order to find the surface area of a sphere, we apply the formula A = 4πr², where r is the radius of the sphere. Given that the diameter of the sphere is 24 cm, we know that the radius r is half the diameter, which is 12 cm. Substituting this into the formula:
A = 4π(12 cm)²
A = 4 x 3.14 x 144 cm²
A = 1809.6 cm²
Hence, the surface area of a sphere with a diameter of 24 cm is 1809.6 cm².
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