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.
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 is given by the formula:
\[ V = \pi r^2 h \]
Notice that the volume of the cylinder is three times the volume of the cone, since the volume of the cone is multiplied by 3 to obtain the volume of the cylinder:
\[ V_{\text{cylinder}} = 3 \times V_{\text{cone}} = 3 \times 27 , \text{cm}^3 = 81 , \text{cm}^3 \]
Thus, the volume of the cylinder that shares the same radius and height as the cone is:
\[ \boxed{81 , \text{cm}^3} \]
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