The volume \( V \) of a cylinder can be calculated using the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- \( r = 5 \) cm,
- \( h = 20 \) cm,
We can substitute these values into the formula:
\[ V = \pi (5)^2 (20) \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now substituting back into the equation:
\[ V = \pi \cdot 25 \cdot 20 \]
Calculating \( 25 \cdot 20 \):
\[ 25 \cdot 20 = 500 \]
So the volume is:
\[ V = 500\pi \text{ cm}^3 \]
Therefore, the answer is:
500π cm³ (500 pi cm cubed).