1. **State the problem:** We are given the curved surface area of a hemisphere as 154 and need to find its diameter. 2. **Recall the formula:** The curved surface area (CSA) of a hemisphere is given by $$\text{CSA} = 2\pi r^2$$ where $r$ is the radius. 3. **Set up the equation:** Given CSA = 154, $$2\pi r^2 = 154$$ 4. **Solve for $r^2$:** $$r^2 = \frac{154}{2\pi} = \frac{154}{2 \times 3.1416} = \frac{154}{6.2832} \approx 24.5$$ 5. **Find $r$:** $$r = \sqrt{24.5} \approx 4.95$$ 6. **Find the diameter $d$:** $$d = 2r = 2 \times 4.95 = 9.9$$ **Final answer:** The diameter of the hemisphere is approximately 9.9 units.