Find the volume of a right circular cylinder with a radius of 1in. and a height of 14in.  (Note: Take the value of π as 3.14.)  Round your answer to the nearest thousandth, if necessary.

The formula for the volume \( V \) of a right circular cylinder is:

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

Where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14 (as given).

Given:
- \( r = 1 \, \text{in.} \)
- \( h = 14 \, \text{in.} \)
- \( \pi = 3.14 \)

Now, plug the values into the formula:

\[
V = 3.14 \times (1)^2 \times 14
\]

\[
V = 3.14 \times 1 \times 14 = 43.96 \, \text{cubic inches}
\]

So, the volume of the cylinder is approximately \( 43.96 \, \text{in}^3 \).

Let me know if you'd like further details, or if you have any questions.

Here are some related questions to consider:
1. How would the volume change if the radius were doubled?
2. What is the surface area of the cylinder?
3. How does the volume formula differ for other 3D shapes?
4. How is the formula for volume derived?
5. How would you calculate the volume if the cylinder were slanted (an oblique cylinder)?

**Tip**: Always square the radius before multiplying by height in the volume formula for a cylinder!

Find the volume of a right circular cylinder with a radius of 1in. and a height of 14in. (Note: Take the value of π as 3.14.) Round your answer to the nearest thousandth, if necessary.

Learn how to calculate the volume of a right circular cylinder with a radius of 1 inch and a height of 14 inches. This problem demonstrates key geometry concepts such as the cylinder volume formula (V = πr^2h) and uses π ≈ 3.14. Perfect for students in Grades 6-8.

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