To find the volume \( V \) of a right circular cylinder, we can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately \( 3.14 \).
In this case, the radius \( r = 12 \) cm and the height \( h = 32 \) cm.
Now, plug in the values:
\[ V = 3.14 \times (12)^2 \times 32 \]
Calculating \( (12)^2 \):
\[ (12)^2 = 144 \]
Now plug this back into the volume formula:
\[ V = 3.14 \times 144 \times 32 \]
Next, calculate \( 144 \times 32 \):
\[ 144 \times 32 = 4608 \]
Now multiply by \( 3.14 \):
\[ V = 3.14 \times 4608 \]
Calculating this gives:
\[ V = 14493.92 \]
Thus, the volume of the right circular cylinder is:
\[ \boxed{14493.92 , \text{cm}^3} \]