1. **State the problem:** Find the surface area of a hemisphere with a radius of 8 yards, rounded to the nearest tenth. 2. **Formula:** The surface area of a hemisphere includes the curved surface area plus the base area (circle). The curved surface area of a hemisphere is given by: $$2\pi r^2$$ The base area (circle) is: $$\pi r^2$$ So, total surface area of a hemisphere is: $$2\pi r^2 + \pi r^2 = 3\pi r^2$$ 3. **Substitute the radius:** $$r = 8$$ Calculate each part: $$2\pi \times 8^2 = 2\pi \times 64 = 128\pi$$ $$\pi \times 8^2 = \pi \times 64 = 64\pi$$ Total surface area: $$128\pi + 64\pi = 192\pi$$ 4. **Calculate numerical value:** Using $\pi \approx 3.1416$, $$192 \pi \approx 192 \times 3.1416 = 603.19$$ 5. **Round to nearest tenth:** $$603.2 \text{ yards}^2$$ **Final answer:** The surface area of the hemisphere is approximately **603.2 yards squared**.