Question

What is the volume of this cylinder?

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

3 in
6 in

cubic inches

Answer 1

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

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

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

From your dimensions:
- The diameter is 3 inches, so the radius \( r \) is half of that:
\[
r = \frac{3}{2} = 1.5 \text{ inches}
\]
- The height \( h \) is 6 inches.

Now, substitute the values into the volume formula:

\[
V = \pi (1.5)^2 (6)
\]

First, calculate \( (1.5)^2 \):

\[
(1.5)^2 = 2.25
\]

Now substitute:

\[
V = \pi (2.25)(6)
\]

Calculate \( 2.25 \times 6 \):

\[
2.25 \times 6 = 13.5
\]

Now substitute \( \pi \approx 3.14 \):

\[
V = 3.14 \times 13.5
\]

Now calculate \( 3.14 \times 13.5 \):

\[
3.14 \times 13.5 = 42.39
\]

Thus, the volume of the cylinder is approximately:

\[
\boxed{42.39} \text{ cubic inches}
\]