Subjects geometry

Sphere Surface Area D71271

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to find the surface area of a spherical globe with diameter 12 inches. 2. **Recall the formula:** The surface area $S$ of a sphere is given by $$S = 4\pi r^2$$ where $r$ is the radius. 3. **Find the radius:** Since diameter $d = 12$ inches, radius $r = \frac{d}{2} = \frac{12}{2} = 6$ inches. 4. **Calculate the surface area:** Substitute $r=6$ into the formula: $$S = 4\pi (6)^2 = 4\pi \times 36 = 144\pi$$ 5. **Approximate the value:** Using $\pi \approx 3.1416$, $$S \approx 144 \times 3.1416 = 452.39$$ 6. **Choose the closest answer:** The closest measurement to the surface area is 452 square inches. **Final answer:** B. 452
r=6Diameter = 12