Comparing the Volumes of a Cylinder and a Cone

Consider two geometric shapes: a cylinder and a cone. Both shapes have the same base radius of 3 units and the same height of 9 units.

The volume of a cylinder is calculated using the formula:

$$V_{cylinder} = ext{Base Area} imes ext{Height} = ext{π}r^2h$$

and the volume of a cone is calculated using the formula:

$$V_{cone} =\frac{1}{3} ext{Base Area} imes ext{Height} =\frac{1}{3} ext{π}r^2h$$

Using these formulas, compare the volumes of the two shapes. Which shape has the greater volume?