The formula to find the volume \( V \) of a cylinder is:
\[ V = \pi r^2 h \]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
Given:
- Base radius \( r = 8 \) inches
- Height \( h = 40 \) inches
Substituting the values into the formula gives:
\[ V = \pi (8^2)(40) \]
Now calculate \( 8^2 \):
\[ 8^2 = 64 \]
So the volume formula becomes:
\[ V = \pi (64)(40) \]
Now calculate \( 64 \times 40 \):
\[ 64 \times 40 = 2560 \]
Thus, the volume is:
\[ V = \pi \times 2560 \]
Therefore, the complete formula for the volume of the cylinder is:
\[ V = 2560\pi \text{ cubic inches} \]
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