Volume Comparison of Cone and Cylinder

A right circular cone has a base radius of 3 cm and a height of 4 cm. A cylinder also has a base radius of 3 cm and a height of 4 cm. If both solids are filled to the brim with water, and the water from the cone is poured into the cylinder, how much of the cylinder will remain empty after pouring the water in?

To solve this problem, you'll need to calculate the volumes of both the cone and the cylinder. The volume of a cone is given by the formula:

$$V_{cone} = \f\frac{1}{3} \pi r^2 h$$

and the volume of a cylinder is given by:

$$V_{cylinder} = \pi r^2 h$$