Question

Find the volume of a cylinder that has a diameter of 14 feet and the height of 24 feet. Use 3.14 for pi.
The volume is

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.

Given:
- Diameter = 14 feet, therefore the radius \( r = \frac{14}{2} = 7 \) feet
- Height \( h = 24 \) feet
- Using \( \pi \approx 3.14 \)

Now substitute these values into the volume formula:

\[
V = 3.14 \times (7^2) \times 24
\]

Calculating \( 7^2 \):

\[
7^2 = 49
\]

Now substitute 49 into the equation:

\[
V = 3.14 \times 49 \times 24
\]

Now calculate \( 49 \times 24 \):

\[
49 \times 24 = 1176
\]

Now substitute 1176 back into the equation for volume:

\[
V = 3.14 \times 1176
\]

Calculating \( 3.14 \times 1176 \):

\[
V \approx 3694.24
\]

Therefore, the volume of the cylinder is approximately:

\[
\boxed{3694.24} \, \text{cubic feet}
\]