1. **State the problem:** We need to find the volume of soup that fits in a cylindrical can with radius $r=3$ cm and height $h=7$ cm. 2. **Formula:** The volume $V$ of a cylinder is given by the formula: $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Substitute the values:** $$V = \pi \times 3^2 \times 7$$ 4. **Calculate the square of the radius:** $$3^2 = 9$$ So, $$V = \pi \times 9 \times 7$$ 5. **Multiply the constants:** $$9 \times 7 = 63$$ So, $$V = 63\pi$$ 6. **Approximate using $\pi \approx 3.1416$:** $$V \approx 63 \times 3.1416 = 197.9208$$ 7. **Round to the nearest tenth:** $$V \approx 197.9 \text{ cm}^3$$ **Final answer:** The volume of soup that fits in the can is approximately $197.9$ cubic centimeters.