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To solve part **b**, which asks for the volume of the cylinder, we'll use the formula for the volume of a cylinder:

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

where:
- \( \pi = 3.14 \) (as given in the problem),
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.

From the diagram:
- The radius \( r \) of the base is \( 2 \, \text{cm} \),
- The height \( h \) of the cylinder is \( 8 \, \text{cm} \).

Now, let's calculate the volume:

\[
V = 3.14 \times (2 \, \text{cm})^2 \times 8 \, \text{cm}
\]
\[
V = 3.14 \times 4 \, \text{cm}^2 \times 8 \, \text{cm}
\]
\[
V = 3.14 \times 32 \, \text{cm}^3
\]
\[
V = 100.48 \, \text{cm}^3
\]

So, the volume of the cylinder is **100.48 cubic centimeters**.

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

Here are five related questions:
1. How does the volume formula change if the height is doubled?
2. How would the volume change if the radius were tripled?
3. What is the surface area of the cylinder?
4. Can you derive the formula for the volume of a cylinder from first principles?
5. How does the value of \( \pi \) affect the volume?

**Tip**: Always ensure that all units are consistent when calculating volume (e.g., using centimeters for all measurements).

Learn how to calculate the volume of a cylinder with a radius of 2 cm and a height of 8 cm. This geometry problem involves applying the formula for the volume of a cylinder, V = πr²h, and uses the value π = 3.14. Suitable for students in Grades 6-8.

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