City of Montreal plans for starting a new ski resort by building a mountain out of landfill trash. The shape can be approximated by a right circular cone of altitude 1,100 ft with a base diameter of 12,000 ft. The parametric equation of a right circular double cone with vertex at zo is given as x+y2 (z - Zo) = where c is the ratio of the radius with the height of the cone. c2 = 1. If the compacted trash used to build the mountain was estimated to have a mean density of 400 lbm/ft, find the total amount of energy required to build it. Do not use direct formulae from mensuration. 2. In reality, with the passage of time the trash at the bottom would become more compact than that above it due to sinkage. At a particular time, samples were taken at various heights and changes in density were measured. The peak of the mountain still showed the initial density of 400 lbm/ft, but every 100 ft lower the density increased by 400 lbm/ft. What would be the total weight of the mountain in lbm at this particular time?