b$.$ An empty $150$ ml aluminium drinks can may be approximated by an open$-$ended

cylinder, with the following dimensions: height $90$ mm $,$ external diameter $52$ mm and a

constant material thickness of $0\mathrm{.}1$ mm $.$ This is illustrated below.

Figure $3$ Cylinder used to approximate the aluminium drinks can $($not drawn to scale$)$

i$.$ Take the density of aluminium as is $2700kg{m}^{-3},$ calculate the mass of a single

can in grams to $2$ decimal places.

ii$.$ A different sized can has a mass of $7\mathrm{.}5$ g and each one is sold for $15$ pence.

Assuming the price of aluminium sheets is $2300$ per tonne, and that there is no

waste in the manufacturing process, estimate the value added from the

transformation of one tonne of aluminium sheet into cans.