1. **State the problem:** Find the lateral area and total surface area of a sphere with radius $r=11$ ft.
2. **Recall formulas:**
- The lateral area of a sphere is the same as its total surface area because a sphere has no lateral surface distinct from its total surface.
- The formula for the surface area of a sphere is $$A = 4\pi r^2$$
3. **Calculate the surface area:**
$$A = 4\pi (11)^2 = 4\pi \times 121 = 484\pi$$
4. **Evaluate the numerical value:**
Using $\pi \approx 3.1416$,
$$A \approx 484 \times 3.1416 = 1520.53$$
5. **Interpretation:**
- The lateral area is not distinct for a sphere, so it is "None" or not applicable.
- The total surface area is approximately $1520.53$ ft$^2$.
**Final answer:** Lateral Area = None; Total Area $\approx 1520.53$ ft$^2$ (Option C)
Sphere Area A55732
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