Question

A cylinder has a height of 8 cm and a radius of 3 cm. What is the volume? Use 3.14 for π. Label the answer with the correct unit. (8 points; 2 per ? mark)

Volume: V = r2 h → V = ? ?2 ? → V = ?

Answer 1

To calculate the volume of a cylinder, you can use the formula:

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

where:
- \( \pi \) is approximately 3.14,
- \( r \) is the radius, and
- \( h \) is the height.

Given:
- Height \( h = 8 \) cm
- Radius \( r = 3 \) cm

Now, let's plug the values into the formula:

1. Calculate \( r^2 \):
\[
r^2 = 3^2 = 9 \, \text{cm}^2
\]

2. Now calculate \( V \):
\[
V = 3.14 \times 9 \, \text{cm}^2 \times 8 \, \text{cm}
\]

3. First, multiply \( 3.14 \times 9 \):
\[
3.14 \times 9 = 28.26
\]

4. Then multiply that by \( 8 \) cm:
\[
V = 28.26 \times 8 \, \text{cm} = 226.08 \, \text{cm}^3
\]

So, the answers are:

Volume: \( V = r^2 h \) → \( V = 3^2 \times 8 \) → \( V = 226.08 \, \text{cm}^3 \)

Thus, the final volume is:

**Volume: 226.08 cm³**