Question

What is the volume of this cylinder?

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

4 in
7 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,
- \( h \) is the height of the cylinder.

From your description:
- The diameter of the cylinder is 4 inches, so the radius \( r \) is half of the diameter:

\[
r = \frac{4}{2} = 2 \text{ inches}
\]

- The height \( h \) of the cylinder is given as 7 inches.

Now, substituting these values into the volume formula:

\[
V = \pi (2)^2 (7)
\]

Calculating \( (2)^2 \):

\[
(2)^2 = 4
\]

So the volume formula simplifies to:

\[
V = \pi (4) (7) = \pi (28)
\]

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

\[
V \approx 3.14 \times 28
\]

Calculating \( 3.14 \times 28 \):

\[
V \approx 87.92
\]

Thus, the volume of the cylinder is approximately \( 87.92 \) cubic inches.

So, the final answer is:

\[
\text{Volume} \approx 87.92 \text{ cubic inches}
\]