Question

Find the volume of cylinder that has a diameter of 14 feet in the height of 24 feet. Use 3.14 for pi the volume is how many feet

Answer 1

To find the volume of a cylinder, we use the formula:

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

where:
- \( V \) is the volume,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the cylinder, and
- \( h \) is the height of the cylinder.

First, we need to find the radius of the cylinder. The diameter is given as 14 feet, so the radius \( r \) is half of the diameter:

\[
r = \frac{14}{2} = 7 \text{ feet}
\]

Now we can use the height \( h = 24 \) feet and the radius \( r = 7 \) feet to calculate the volume:

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

Calculating \( 7^2 \):

\[
7^2 = 49
\]

Now substitute back into the formula:

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

Now calculate \( 49 \times 24 \):

\[
49 \times 24 = 1176
\]

So now we have:

\[
V = 3.14 \times 1176
\]

Now calculate \( 3.14 \times 1176 \):

\[
V = 3694.24
\]

Therefore, the volume of the cylinder is **3694.24 cubic feet**.