Solve the following problems. Write your complete solution and draw your illustration, if needed. BOX YOUR FINAL ANSWER. 1. The altitude of a cylinder of maximum volume that can be inscribed in a right circular cone of radius, r, and height, h, is? (5 pts.) 2. What is the least amount of tin sheet, in sq. inches, that can be made into a closed cylindrical can having a volume of 308 cu. inches? (5 pts.) 3. A rectangular box having a square base and open at the top is to have a capacity of 28439 cc. Find the width of the box to use the least amount of material. (5 pts.) 4. Divide 250 into two parts so that the product of one and the cube of the other is maximum. Find the numbers. (10 pts.) 5. Determine the area of the largest piece of rectangular ground that can be enclosed by 150 m of fencing if part of an existing straight wall is used as one side. (5 pts.)