The volume \( V \) of a cone is given by the formula:
\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cone.
Given that the volume of the cone is \( 27 , \text{cm}^3 \), we can express this as:
\[ \frac{1}{3} \pi r^2 h = 27 \]
The volume \( V \) of a cylinder with the same radius and height is given by the formula:
\[ V_{\text{cylinder}} = \pi r^2 h \]
Notice that the volume of the cylinder can be related to the volume of the cone:
\[ V_{\text{cylinder}} = 3 \times V_{\text{cone}} \]
Substituting the volume of the cone:
\[ V_{\text{cylinder}} = 3 \times 27 = 81 , \text{cm}^3 \]
Therefore, the volume of the cylinder that shares the same radius and height as the cone is \( \boxed{81 , \text{cm}^3} \).