The volume \( V \) of a cylinder is given by the formula:
\[ V_{\text{cylinder}} = \pi r^2 h \]
The volume \( V \) of a cone is given by the formula:
\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \]
Since the cone shares the same radius \( r \) and height \( h \) as the cylinder, we can relate the two volumes.
Given that the volume of the cylinder is \( 60 , \text{cm}^3 \), we can find the volume of the cone:
\[ V_{\text{cone}} = \frac{1}{3} V_{\text{cylinder}} \]
Substituting the volume of the cylinder:
\[ V_{\text{cone}} = \frac{1}{3} \times 60 , \text{cm}^3 = 20 , \text{cm}^3 \]
So, the volume of the cone is 20 cm³.