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How many cubic feet of concrete are needed to pour around post B

To calculate the amount of concrete required around post \( B \), let's examine the provided dimensions.

### Steps:
1. **Identify the concrete column dimensions around Post \( B \):**
   - The diameter of the concrete column around post \( B \) is given as **15 inches**.
   - The depth of the concrete column is marked as **4 feet 6 inches** (or **54 inches**).

2. **Convert dimensions to feet for volume calculation:**
   - Diameter = 15 inches, so the radius \( r = \frac{15}{2} = 7.5 \) inches, which is \( \frac{7.5}{12} \approx 0.625 \) feet.
   - Depth \( h = 4 \) feet 6 inches = 4.5 feet.

3. **Calculate the volume of the cylindrical concrete column:**
   - The formula for the volume of a cylinder is:
     \[
     V = \pi r^2 h
     \]
   - Substitute \( r = 0.625 \) feet and \( h = 4.5 \) feet:
     \[
     V = \pi \times (0.625)^2 \times 4.5
     \]

4. **Compute the volume in cubic feet:**
   - \( V = \pi \times 0.390625 \times 4.5 \)
   - \( V \approx 5.52 \) cubic feet.

### Answer:
Approximately **5.52 cubic feet** of concrete are needed to pour around post \( B \).

Would you like more details on the calculation or assistance with related problems?

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**Related Questions:**

1. How would the concrete volume change if the diameter of the post were larger?
2. What is the amount of concrete needed around post \( C \) if its diameter and depth are different?
3. How do changes in post depth affect the concrete volume calculation?
4. How can we convert the concrete volume to gallons if needed?
5. How would you calculate the concrete volume if the post shape were rectangular?

**Tip:** Always convert all measurements to the same units before performing volume calculations for consistency and accuracy.

How many cubic feet of concrete are needed to pour around post B?

Calculate the amount of concrete required to pour around post B by finding the volume of a cylindrical column with a 15-inch diameter and a 4.5-foot depth. Learn how to use the cylinder volume formula V = πr²h and unit conversions to get an accurate result.

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