The cube below has sides of length 4 feet. if a cylindrical section of radius 2 feet is removed from the solid, what is the total remaining volume of the cube? express your answer in cubic feet in terms of pi.

Because the main shape is a cube and a cube has all sides equal in length, the volume (l*w*h) is 4*4*4=64.  No pi in that volume.  Just 64 ft^3.  The volume for a cylinder is .  The radius is 2 feet and the height is the same as the height of the cube from which it was removed.  So volume for the cylinder is which is .  Since we are removing the volume of the cylinder from the volume of the cube, the volume remaining, in terms of pi is