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This problem involves calculating the volume of a cylindrical grain silo.

### Formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately \( 3.14 \).

### Given:
- Radius \( r = 7.5 \) ft,
- Height \( h = 39 \) ft,
- \( \pi \approx 3.14 \).

Let's calculate the volume.

\[
V = 3.14 \times (7.5)^2 \times 39
\]

First, square the radius:
\[
7.5^2 = 56.25
\]

Now, multiply:
\[
V = 3.14 \times 56.25 \times 39
\]

Let's calculate the final result.The volume of the cylindrical grain silo is approximately \( 6888 \, \text{ft}^3 \) when rounded to the nearest whole number.

Would you like further details or have any questions?

Here are five related questions to explore:
1. How would the volume change if the radius doubled?
2. What would the volume be if the height were halved?
3. How does the volume scale with changes in the radius?
4. What is the surface area of this cylinder?
5. How is the formula for the volume of a cylinder derived?

**Tip:** The volume of a cylinder increases proportionally with both the square of the radius and the height.

A grain silo has a cylindrical shape. Its radius is 7.5 ft, and its height is 39 ft. What is the volume of the silo? Use the value 3.14 for π, and round your answer to the nearest whole number.

Learn how to calculate the volume of a cylindrical grain silo with a radius of 7.5 ft and height of 39 ft using the formula V = πr²h. This problem includes step-by-step calculations and explanations suitable for students in Grades 6-8.

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