1. **State the problem:** We need to find the height $h$ of a cylindrical container with volume $769691$ cm³ and radius $r=7$ cm. 2. **Recall the volume formula for a cylinder:** $$V = \pi r^2 h$$ 3. **Substitute the known values:** $$769691 = \pi \times 7^2 \times h = \pi \times 49 \times h$$ 4. **Solve for height $h$:** $$h = \frac{769691}{49 \pi}$$ 5. **Calculate numeric value:** Using $\pi \approx 3.1416$, $$h \approx \frac{769691}{49 \times 3.1416} = \frac{769691}{153.9384} \approx 4997.46$$ cm 6. **Conclusion:** The height of the cylinder is approximately **4997.46 cm**.