The volume \( V \) of a cone is given by the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cone.
The volume \( V \) of a cylinder is given by the formula:
\[ V = \pi r^2 h \]
From the volume of the cone, we see that:
\[ 27 = \frac{1}{3} \pi r^2 h \]
To find the volume of the cylinder that shares the same radius and height, we can multiply the volume of the cone by 3:
\[ V_{\text{cylinder}} = 3 \times V_{\text{cone}} = 3 \times 27 = 81 , \text{cm}^3 \]
Thus, the volume of the cylinder is:
\[ \boxed{81 , \text{cm}^3} \]