Question

What is the volume of this cylinder?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

6 mm
5 mm

cubic millimeters

Answer 1

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

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height of the cylinder.

From your question, we see the following dimensions:
- The diameter is 6 mm, so the radius \( r \) is half of that:
\[
r = \frac{6}{2} = 3 \text{ mm}
\]

- The height \( h \) is 5 mm.

Now, substituting the values into the formula:

\[
V = \pi (3)^2 (5)
\]

Using \( \pi \approx 3.14 \):

\[
V = 3.14 \times 3^2 \times 5
\]
\[
V = 3.14 \times 9 \times 5
\]
\[
V = 3.14 \times 45
\]
\[
V = 141.3
\]

Therefore, the volume of the cylinder, rounded to the nearest hundredth, is:

\[
\boxed{141.30} \text{ cubic millimeters}
\]