1. **State the problem:** We are given two spheres with radii 11 inches and 5 meters, and we need to find their surface areas and volumes. 2. **Surface area formula for a sphere:** $$SA = 4\pi r^2$$ This formula calculates the total surface area of a sphere where $r$ is the radius. 3. **Calculate surface area for the first sphere (radius 11 inches):** Given: $r = 11$ $$SA = 4 \times \pi \times 11^2$$ $$SA = 4 \times \pi \times 121$$ $$SA = 484\pi$$ Using $\pi \approx 3.1416$: $$SA \approx 484 \times 3.1416 = 1520.53$$ So, the surface area is about 1520.53 square inches. 4. **Calculate surface area for the second sphere (radius 5 meters):** Given: $r = 5$ $$SA = 4 \times \pi \times 5^2$$ $$SA = 4 \times \pi \times 25$$ $$SA = 100\pi$$ Using $\pi \approx 3.1416$: $$SA \approx 100 \times 3.1416 = 314.16$$ So, the surface area is about 314.16 square meters. 5. **Volume formula for a sphere:** $$V = \frac{4}{3} \pi r^3$$ This formula calculates the volume of a sphere where $r$ is the radius. 6. **Calculate volume for the first sphere (radius 11 inches):** Given: $r = 11$ $$V = \frac{4}{3} \times \pi \times 11^3$$ $$V = \frac{4}{3} \times \pi \times 1331$$ $$V = \frac{4}{3} \times 1331 \pi$$ Intermediate step showing cancellation: $$V = \cancel{\frac{4}{3}} \times 1331 \pi$$ Calculate: $$V = \frac{4 \times 1331}{3} \pi = \frac{5324}{3} \pi$$ Using $\pi \approx 3.1416$: $$V \approx \frac{5324}{3} \times 3.1416 = 1774.67 \times 3.1416 = 5575.28$$ So, the volume is about 5575 cubic inches. 7. **Calculate volume for the second sphere (radius 5 meters):** Given: $r = 5$ $$V = \frac{4}{3} \times \pi \times 5^3$$ $$V = \frac{4}{3} \times \pi \times 125$$ $$V = \frac{4}{3} \times 125 \pi$$ Intermediate step showing cancellation: $$V = \cancel{\frac{4}{3}} \times 125 \pi$$ Calculate: $$V = \frac{4 \times 125}{3} \pi = \frac{500}{3} \pi$$ Using $\pi \approx 3.1416$: $$V \approx \frac{500}{3} \times 3.1416 = 166.67 \times 3.1416 = 523.60$$ So, the volume is about 524 cubic meters. **Final answers:** - Surface area of sphere with radius 11 inches: about 1520.53 square inches. - Surface area of sphere with radius 5 meters: about 314.16 square meters. - Volume of sphere with radius 11 inches: about 5575 cubic inches. - Volume of sphere with radius 5 meters: about 524 cubic meters.