Question

What is the volume of this cylinder?

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

18 ft
5 ft

cubic feet

Answer 1

To find the volume \( V \) of a cylinder, you can use the formula:

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

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

Given:
- The height \( h = 18 \) ft
- The diameter of the cylinder is \( 5 \) ft, so the radius \( r \) is half of that:

\[
r = \frac{5}{2} = 2.5 \text{ ft}
\]

Now, we can substitute the values into the volume formula:

\[
V = \pi (2.5)^2 (18)
\]

Calculating \( (2.5)^2 \):

\[
(2.5)^2 = 6.25
\]

Then substitute into the volume formula:

\[
V = \pi \times 6.25 \times 18
\]

Now, use \( \pi \approx 3.14 \):

\[
V \approx 3.14 \times 6.25 \times 18
\]

First, calculate \( 3.14 \times 6.25 \):

\[
3.14 \times 6.25 = 19.625
\]

Now multiply by \( 18 \):

\[
V \approx 19.625 \times 18 = 353.25
\]

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

\[
\boxed{353.25} \text{ cubic feet}
\]