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The problem asks to find the volume of a cylinder with a radius of 4 inches and a height of 8 inches, using the formula:

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

Where:
- \( r \) is the radius of the cylinder (4 inches),
- \( h \) is the height of the cylinder (8 inches),
- \( \pi \) is approximately 3.1416.

Now, let's calculate the volume:

\[
V = \pi \times (4)^2 \times 8
\]

I'll compute this next.The volume of the cylinder is approximately \( 402.12 \, \text{in}^3 \).

Would you like more details or have any questions about this?

Here are five related questions:
1. What is the surface area of a cylinder with the same dimensions?
2. How would the volume change if the height were doubled?
3. How do we calculate the lateral surface area of this cylinder?
4. What is the relationship between the radius and height in maximizing the volume?
5. How does the volume formula change if the cylinder is hollow?

**Tip:** Always remember that for geometric shapes, units of volume are cubed (e.g., in³ for inches).

Find the volume of the cylinder below. Use V = πr²h. Radius = 4 in, Height = 8 in.

Learn how to calculate the volume of a cylinder with a radius of 4 inches and height of 8 inches. This problem uses the volume formula V = πr²h to find the result, which is approximately 402.12 cubic inches. Suitable for students in Grades 6-8.

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