$1.$ Calculate the total head, hydraulic head, and elevation head for points A$,$ B$,$ C$,$ D$,$ E$,$ and F $($use cm as the unit; BC $=30$ cm$,$ CD $=40$ cm$,$ DE $=50$ cm$).$

$2.$ A $3$ ft deep cut is to be made over a $20,000$ ft$^2$ site. The soil has an average unit weight of $115$ pcf and moisture content of $8\mathrm{.}6\%.$ Given a maximum dry unit weight of $122$ pcf and an optimum moisture content of $12\mathrm{.}1\%$: a$.$ Compute the volume of fill produced. b$.$ Calculate the weight of water needed for compaction $($assume optimum moisture content$).$

$3.$ Use the provided data to draw a compaction curve.