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 cm\(^3\), we have:
\[ \frac{1}{3} \pi r^2 h = 27 \]
To find the volume of a cylinder that has the same radius and height as the cone, we use the volume formula for a cylinder, which is:
\[ V = \pi r^2 h \]
From the cone's volume formula, we know that:
\[ \pi r^2 h = 3 \times 27 = 81 \]
Thus, the volume of the cylinder is:
\[ \boxed{81} \text{ cm}^3 \]