A cylindrical can is to be constructed to hold 27 &pgr; cubic inches of liquid. The top and bottom cost $.040 per square inch and the sidews cost $0.10 per sq. inch. Find the dimensions of the can that cost the least in materials.
Note: CT = $0.40 , CS = $0.10
The only real answer is the 2nd one
h is 12
Look at the diagonal of the rectangle. It is a diameter of the circle. Let x and y be the two sides of the retangle. Then
x = 0 is a local max, x = 1 is a local min