determine the cost if given volume and (height to diameter) ratio

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if a can made out a thin sheet of tin , which cost about 0.25$ per square meter . my question is for various height to diameter ratio ( H/D ) values and several can volumes (V), what is the equation used to calculate the cost ?

what is my equation to calculate cost ?

answer : if h/d=x then h=x*d.....1

volume of cylinder = pi*r^2*h= pi*r^2*xd ,where r=d/2

if volume is given then

d=(v*4/(pi*x))^1/3......2

then surface area =(2*pi*r^2)+2*pirh......3

substitute with 1 and 2 in 3 and then multiply them with the cost value for meter square.