A locking dock is supported by two solid concrete piers . The piers are each two feet in diameter and ten feet high. How many cubic feet of concrete do the two piers contain?

To find the volume of concrete in the two piers, we can use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

### Step-by-Step Calculation:

1. **Calculate the radius**:
   - Given diameter \( = 2 \) feet,
   - Radius \( r = \frac{2}{2} = 1 \) foot.

2. **Calculate the volume of one pier**:
   \[
   V = \pi \times (1)^2 \times 10 = 10\pi \, \text{cubic feet}
   \]

3. **Calculate the volume of two piers**:
   \[
   \text{Total volume} = 2 \times 10\pi = 20\pi \, \text{cubic feet}
   \]

4. **Approximate using \(\pi \approx 3.14159\)**:
   \[
   20\pi \approx 20 \times 3.14159 = 62.8318 \, \text{cubic feet}
   \]

### Final Answer:
The two piers contain approximately **62.83 cubic feet** of concrete.

Would you like further details, or do you have any questions?

---

1. How does the formula for the volume of a cylinder apply in different contexts?
2. What other shapes can be used in pier construction and their volume calculations?
3. How does changing the height of the piers affect the concrete needed?
4. Why is concrete volume important in construction projects?
5. How is \(\pi\) typically approximated in practical applications?

**Tip:** Always double-check measurements to ensure accurate volume calculations in construction.

A locking dock is supported by two solid concrete piers. The piers are each two feet in diameter and ten feet high. How many cubic feet of concrete do the two piers contain?

Find out how to calculate the volume of concrete needed for two solid concrete piers. This problem involves geometry and volume calculations for cylinders, with a step-by-step solution. Suitable for Grades 6-8.

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