1. **State the problem:** Felecia wants to find the cost of producing one tin can made from two circular pieces and one rectangular piece of tin. The tin can has a radius of 7.3 cm and a height of 10.6 cm. 2. **Formula used:** The surface area of a cylinder is given by: $$\text{Surface area} = 2 \pi r (r + h)$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the surface area:** Given $r = 7.3$ cm and $h = 10.6$ cm, $$\text{Surface area} = 2 \pi \times 7.3 \times (7.3 + 10.6)$$ $$= 2 \pi \times 7.3 \times 17.9$$ $$= 2 \times 3.1416 \times 7.3 \times 17.9$$ $$= 821.6 \text{ cm}^2$$ 4. **Convert surface area to square meters:** $$821.6 \text{ cm}^2 = \frac{821.6}{10000} = 0.08216 \text{ m}^2$$ 5. **Calculate the cost:** Cost per $m^2$ is 55.60. $$\text{Cost} = 0.08216 \times 55.60 = 4.565$$ 6. **Final answer:** The cost of producing one can is approximately 4.57.