$3-$ a$)$ Represent approximately the pressing behavior of clay in a graphic with abscissa indicating pressure, and ordinate representing $\%$ pressed density. The curve should nearly obey $\%d=f(P)=K{P}^n(n$~~$0\mathrm{.}4)$ function. The highest density was obtained for $75\%(0\mathrm{.}75)$ pressed density $($empty volume$)$ for $69$Mpa,$\%63$ pressed density at $7$MPa in $100c{m}^3$ empty space of a cylindiric mould having $2\mathrm{.}54cm$ diameter $(1$ inch$)(5$P$).$

b$)$ Assuming $$ th of clay ~$=2\mathrm{.}5\frac{g}{c}{m}^3,$ estimate the energy stored in your pressed pellet by integration $($check units$)(10$P$),($Use $0\mathrm{.}75$ for $69$MPa pressure to calculate K$)$

c$)$ calculate the distance the piston entered into the mould $(2P,$ calculate the weight of the pellet you obtained $(3P)$