To solve this problem, we calculate the volume of the cylindrical water tank using the formula for the volume of a cylinder:

$V = \pi r^2 h$

Step-by-step Solution:

1. Given values:

   • Diameter = 8 ft → Radius = $\frac{8}{2} = 4$ ft
   • Height = 10 ft
   • Use $\pi = 3.14$

2. Substitute into the formula: $V = 3.14 \cdot (4)^2 \cdot 10$

3. Perform calculations:

   • $4^2 = 16$
   • $3.14 \cdot 16 = 50.24$
   • $50.24 \cdot 10 = 502.4$

4. Round to the nearest whole number:

   • $V \approx 502 \, \text{ft}^3$

Final Answer:

The volume of the tank is approximately 502 cubic feet ($\text{ft}^3$).

Would you like a detailed explanation of any part of this calculation or a different problem explored?

Expanding Understanding:

1. What happens to the volume if the diameter is doubled?
2. How does the height of the cylinder affect the volume directly?
3. Why is it important to use the radius instead of the diameter in the formula?
4. Can you calculate the volume if the height is given in meters instead?
5. How does rounding affect accuracy in real-life calculations?

Tip:

Always double-check unit conversions and rounding when solving real-world problems involving measurements!