PUNE MCA Exam 2015 Question Paper with answers for online practice

A new building is all to have a store room with the base having length and breadth equal to 12 feet, with the ceeling supported by 4 columns at 4 corners of the room. The ceeling corresponding to the surface is defined by the equation z=24 + y sin(y). cos(x) where ‘x’ and ‘y’ range from 0 to 12 and z corresponding to the height of the room. Assume that the base of the column are at the points whose coordinates are (0, 0), (12, 0), (12, 12) and (0, 12) respectively. If wall be put up to the ceiling joining the adjacent column then the volume of the room is;