A cylindrical container has a radius of 5 cm and a height of 12 cm. It is filled entirely with water. During a science experiment, a spherical object with a radius of 3 cm is submerged in the water. Assuming the object is fully submerged, how much water will overflow from the cylindrical container? Use the formula for the volume of a cylinder, which is given by $V = \pi r^2 h$ and the formula for the volume of a sphere, $V = \f\frac{4}{3} \pi r^3$.