1. **State the problem:** We have two cylindrical containers, A and B. Container A: diameter = 12 ft, height = 19 ft, initially full of water. Container B: diameter = 14 ft, height = 13 ft, initially empty. Water is pumped from A to B until B is full. We need to find the volume of empty space left in A after pumping. 2. **Formula for volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate volume of Container A:** Radius $r_A = \frac{12}{2} = 6$ ft Height $h_A = 19$ ft $$V_A = \pi \times 6^2 \times 19 = \pi \times 36 \times 19 = 684\pi$$ cubic feet 4. **Calculate volume of Container B:** Radius $r_B = \frac{14}{2} = 7$ ft Height $h_B = 13$ ft $$V_B = \pi \times 7^2 \times 13 = \pi \times 49 \times 13 = 637\pi$$ cubic feet 5. **Water pumped from A to B:** Since B is filled completely, volume pumped = $V_B = 637\pi$ 6. **Volume left in A after pumping:** $$V_{left} = V_A - V_B = 684\pi - 637\pi = (684 - 637)\pi = 47\pi$$ cubic feet 7. **Calculate numerical value:** $$47\pi \approx 47 \times 3.1416 = 147.0$$ cubic feet (to nearest tenth) **Final answer:** The volume of the empty space inside Container A after pumping is approximately **147.0** cubic feet.