The formula to find the volume \( V \) of a cylinder is given by the equation:
\[ V = \pi r^2 h \]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
For a cylinder with a base radius of 8 inches and a height of 40 inches, you can plug these values into the formula:
\[ V = \pi (8)^2 (40) \]
Now you can calculate \( V \):
- Calculate \( 8^2 = 64 \).
- Multiply that by the height: \( 64 \times 40 = 2560 \).
- Finally, include \( \pi \):
\[ V = 2560\pi \text{ cubic inches} \]
So, the complete formula for this specific cylinder would be:
\[ V = 2560\pi \text{ in}^3 \]