Subjects geometry

Sphere Surface Area Faf225

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1. **Problem:** Find the surface area of a sphere with diameter 24.8 mm. 2. **Formula:** Surface area of a sphere is given by $$A = 4\pi r^2$$ where $r$ is the radius. 3. **Calculate radius:** $$r = \frac{d}{2} = \frac{24.8}{2} = 12.4\text{ mm}$$ 4. **Calculate surface area:** $$A = 4\pi (12.4)^2 = 4\pi (153.76) = 615.04\pi$$ 5. **Approximate:** $$A \approx 615.04 \times 3.1416 = 1931.68\text{ mm}^2$$ **Final answer:** The surface area is approximately **1931.68 mm²**.