()Listen Pick one and only one of the following problems to solve. If you submit solutions to more than one problem, no marks will be awarded. Indicate in the answer box which problem you have chosen. a) A spherical tank full of water has a radius of 5 meters. Assuming the density of water is 1000 kilograms per cubic meter, how much work is done in pumping all the water to the top of the tank? b) Find the centroid of the region bound by the following curves: y = 2 2 and y = 6 - x c) A plate is in the shape of an inverted isosceles triangle whose unique side (the base) is 6 meters and whose height is 4 meters. If the plate is submerged in water vertically such that the base of the plate is right at the surface of the water, determine the hydrostatic force acting on the plate. Assume the density of water is 1000 kilograms per cubic meter. Write down your final mathematical expression for this question in the box provided below before proceeding to the next question. You may not alter your detailed solution after you have moved to the next question. All detailed solutions must be scanned and submitted together in one PDF to the "Final Exam" assignment submission folder at the end of the exam