To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
Where:
- \( V \) = volume of the cylinder
- \( r \) = radius of the base of the cylinder
- \( h \) = height of the cylinder
In this case:
- The base radius \( r = 8 \) inches
- The height \( h = 40 \) inches
Substituting these values into the formula gives:
\[ V = \pi (8)^2 (40) \]
So, the complete formula to find the volume of the cylinder is:
\[ V = \pi (8^2)(40) \]
You can simplify it further if needed:
\[ V = \pi (64)(40) \]
Thus, the volume can also be expressed as:
\[ V = 2560\pi \] cubic inches.