A cylindrical can is to be built to occupy a volume of 5000m3.
The top and bottom of the cylinder cost $500/m2, wheras the cost to
build the wall of the cylinder is $300/m2. Also, the top of the
cylinder is to have a circular hole that will occupy 1/4 of the top
area. Find the dimensions, to 2 decimal places, of the cylinder to
minimize the cost. What is the cost, rounded to the nearest
hundred, to build the...