The volume of a cone is given by the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
The volume of a cylinder is given by the formula:
\[ V = \pi r^2 h \]
From the information provided, the volume of the cylinder is 60 cm³.
Since the cone shares the same radius (r) and height (h) as the cylinder, we can relate the volume of the cone to the volume of the cylinder. The volume of the cone is one-third of the volume of the cylinder:
\[ V_{cone} = \frac{1}{3} V_{cylinder} \]
Now, substituting the volume of the cylinder:
\[ V_{cone} = \frac{1}{3} \times 60 , \text{cm}^3 = 20 , \text{cm}^3 \]
Therefore, the volume of the cone is 20 cm³.
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