A closed cylindrical tank is to be built using 924m^2 of metal. Calculate the radius and height if the volume of the cylinder is to be a maximum.
I just cant get my head around these problems.
don't give up so easy. this problem is not as bad as you think.
this first equation is the total surface area of a cylinder ...
sub this into the volume formula for h ...
take the derivative w/r to r and set the result equal to zero ...
sub this value into the equation where h is in terms of r ... you should see that h = 2r ; the max volume for a fixed surface area occurs when the cylinder's side profile is a square.