Question

What is the volume of this cylinder?

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

2 in
4 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, and \( h \) is the height of the cylinder.

In your case:
- The diameter is given as 2 inches, which means the radius \( r \) is half of that:

\[
r = \frac{2}{2} = 1 \text{ inch}
\]

- The height \( h \) is given as 4 inches.

Now, substitute \( r \) and \( h \) into the volume formula:

\[
V = \pi (1)^2 (4)
\]
\[
V = \pi \cdot 1 \cdot 4
\]
\[
V = 4\pi
\]

Using \( \pi \approx 3.14 \):

\[
V \approx 4 \cdot 3.14 = 12.56
\]

Rounding to the nearest hundredth, the volume of the cylinder is:

\[
\boxed{12.56} \text{ cubic inches}
\]