1. The problem asks to find the circumference of a ball (sphere) given its volume of 5.6 dm³. 2. Recall the formula for the volume of a sphere: $$V = \frac{4}{3} \pi r^3$$ where $r$ is the radius. 3. Substitute the volume $V = 5.6$ into the formula and solve for $r$: $$5.6 = \frac{4}{3} \pi r^3$$ 4. Multiply both sides by $\frac{3}{4\pi}$ to isolate $r^3$: $$r^3 = \frac{3 \times 5.6}{4 \pi} = \frac{16.8}{4 \pi} = \frac{16.8}{12.5664} \approx 1.336$$ 5. Take the cube root to find $r$: $$r = \sqrt[3]{1.336} \approx 1.1 \text{ dm}$$ 6. The circumference $C$ of a sphere is given by: $$C = 2 \pi r$$ 7. Substitute $r \approx 1.1$ dm: $$C = 2 \pi \times 1.1 \approx 6.91 \text{ dm}$$ Final answer: The circumference of the ball is approximately $6.91$ dm.