Comparing Volumes of a Cylinder and a Cone

Consider a cylinder and a cone with the same base radius and height. Let the radius be $r$ and the height be $h$. The volume $V$ of a cylinder is given by the formula:

$$V = ext{Base Area} imes ext{Height} = ext{Area of Circle} imes h = rac{22}{7} r^2 h$$

The volume $V$ of a cone is given by the formula:

$$V = rac{1}{3} imes ext{Base Area} imes ext{Height} = rac{1}{3} imes rac{22}{7} r^2 h$$

Given these formulas, compare the volumes of the cylinder and the cone when both have base radius $6$ units and height $10$ units.