The cylinder pictured below is filled 3/4 full with water.  If the cube pictured below is sunk into the cylinder, will any water spill over the sides? (Scroll for answer below)

Volume of Cylinder = pi * r² * h = 113.04 in^3
3/₄ * (113.04) = 84.78 in³ of water in the cylinder

Volume of cube = len*wid*ht (or side³) = 27 in³

Space Occupied by Water and Cube:  84.78 in³  + 27 in³  = 111.78 in³

The water level will come close, but not spill over.