To find the volume of the cylinder, we need to use the formulas for the volume of a cone and a cylinder.
The volume \( V \) of a cone is given by:
\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius of the base and \( h \) is the height.
The volume \( V \) of a cylinder is given by:
\[ V_{\text{cylinder}} = \pi r^2 h \]
Since the cone and the cylinder have the same base radius \( r \) and the same height \( h \), we can relate their volumes. The volume of the cylinder is three times the volume of the cone:
\[ V_{\text{cylinder}} = 3 \times V_{\text{cone}} \]
Given that the volume of the cone is 10 cubic units, we can calculate the volume of the cylinder:
\[ V_{\text{cylinder}} = 3 \times 10 = 30 \text{ cubic units} \]
So, the volume of the cylinder is \( 30 \) cubic units.
The answer is: 30 cubic units.
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