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.
From your description, it looks like you have the diameter and height of the cylinder:
- The height \( h = 23 \) feet.
- The diameter is given as \( 15 \) feet.
To find the radius \( r \), you need to take half of the diameter:
\[ r = \frac{d}{2} = \frac{15 \text{ feet}}{2} = 7.5 \text{ feet} \]
Now we can calculate the volume using the formula. First, calculate \( r^2 \):
\[ r^2 = (7.5 \text{ feet})^2 = 56.25 \text{ square feet} \]
Now plug in the values into the volume formula:
\[ V = \pi r^2 h = 3.14 \times 56.25 \text{ square feet} \times 23 \text{ feet} \]
Calculate this step by step:
- First calculate \( 3.14 \times 56.25 \):
\[ 3.14 \times 56.25 = 176.625 \]
- Now multiply by the height \( 23 \):
\[ V = 176.625 \times 23 = 4062.375 \]
Thus, the volume of the cylinder is approximately
\[ V \approx 4062.38 \text{ cubic feet} \]
So, the final answer is:
\[ \boxed{4062.38} \text{ cubic feet} \]