A farmer asks a group of engineering students to determine the volume of water in a smal...

A farmer asks a group of engineering students to determine the volume of water in a small pond. Using cord, the students first establish a 2 × 2-ft grid across the pond and then record the depth of the water, in feet, at each intersection point of the grid (see the accompanying table). Write a computer program that can be used to determine (a) the volume of water in the pond, (b) the location of the center of gravity of the water. Approximate the depth of each 2 × 2-ft element of water using the average of the water depths at the four corners of the element.