The volume (\(V\)) of a cylinder is given by the formula \(V = \pi r^2 h\), where \(r\) is the radius and \(h\) is the height.
For a cylinder with a radius of \(5 \, \text{cm}\) and a height of \(10 \, \text{cm}\):
\[ V = \pi \times (5 \, \text{cm})^2 \times (10 \, \text{cm}) \]
\[ V = 250 \pi \, \text{cm}^3 \]
So, the volume is \(250 \pi \, \text{cm}^3\), or approximately \(785.4 \, \text{cm}^3\) if you round to one decimal place.