The piece below is obtained by indirect cold extrusion. It is made of annealed aluminum alloy with a K$=240$ MPa and n$=0\mathrm{.}15.$ The container has a diameter of $3$ inches. The value of the constants of the Johnson formula are a$=0\mathrm{.}8$ and b$=1\mathrm{.}30.$ Calculate the extrusion force when the ram is $3$ inches from the bottom. The billet is initially $5$ inches long. Calculate the length of the extruded piece if the remaining top of the container at the end of the stroke is $0\mathrm{.}75$ inches.