1. **State the problem:** We need to find how many gallons of water a cylindrical tank holds when full. 2. **Given data:** - Diameter of the tank $d = 10$ feet - Height of the tank $h = 6$ feet - 1 cubic foot holds approximately 7.48 gallons 3. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 4. **Calculate the radius:** $$r = \frac{d}{2} = \frac{10}{2} = 5 \text{ feet}$$ 5. **Calculate the volume in cubic feet:** $$V = \pi (5)^2 (6) = \pi \times 25 \times 6 = 150\pi \text{ cubic feet}$$ 6. **Approximate the volume:** $$V \approx 150 \times 3.1416 = 471.24 \text{ cubic feet}$$ 7. **Convert volume to gallons:** $$\text{Gallons} = 471.24 \times 7.48 = 3523.68 \text{ gallons}$$ 8. **Round to the nearest gallon:** $$\boxed{3524 \text{ gallons}}$$ The tank holds approximately 3524 gallons of water when full.