To find the volume of a right circular cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- \( r = 12 \) cm
- \( h = 32 \) cm
Now, substitute the values into the formula:
\[ V = 3.14 \times (12)^2 \times 32 \]
First, calculate \( (12)^2 \):
\[ (12)^2 = 144 \]
Now, substitute \( 144 \) back into the equation for volume:
\[ V = 3.14 \times 144 \times 32 \]
Now, calculate \( 144 \times 32 \):
\[ 144 \times 32 = 4608 \]
Now, multiply by \( 3.14 \):
\[ V = 3.14 \times 4608 \]
Calculating this gives:
\[ V = 14461.92 \]
Thus, the volume of the cylinder is:
\[ \boxed{14461.92} , \text{cm}^3 \]