Write a function that will take in the dimensions of the box, length, width, and height, and the radius of the hole, and determine the volume of material remaining. assume the hole has been drilled along the height direction. note: first write the function assuming the hole has radius less than min(length/2 width/2). for full credit, you will need to account for larger radii as wel program 2: profit prophets imagine you have three parallel lists of the same length: one with the names of several production facilities, another with the annual cost to operate each of those facilities, and a third with the value of the products produced at each facility. return the name and net profitability (profitability is the value of what is produced minus the cost to operate) of the least profitable facility.