Question 1118228
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A CONTAINER FOR A {{{cross(canned)}}} drink will be made using 40 {{{cross(in2)}}} SQUARE INCHES of aluminum.   Let r be the radius of the can and let h be the height.  Define a function in terms of r that can represent the volume of the can.
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Account for the surface area.
{{{h*2pi*r+pi*r^2+pi*r^2=40}}}

{{{h*2pi*r+2pi*r^2=40}}}



Account for (variable) volume.
{{{v=h*pi*r^2}}}


Solve the surface area equation for h in terms of r, and substitute this into the volume function, and simplify.