1. A closed cylindrical is to hold 15 liter (15,000 cm3 ) of liquid. How should we choose the height and radius to minimize the amount of material needed to manufacture the cylinder ? ( Hint: Volume of Cylinder: V = ar h and Surface Area of Cylinder: S = 2ar2 + 2arh ) 2. Find the point on the curve of y = x -6 that is closest to the point (1, 0). 3. Find two positive numbers that satisfy the given requirements: The sum of the first number squared and 2 times the second number is 60 and their product is a maximum