Homework: 4.5 Optimization Question 4 HW Score: 20%, , . 45.35 1 of 5 pomts > . Part 3 of 5 1C) POIHtS. 0 of Question list 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 l a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a volume of 398 cm3, a radius of 3.1 cm, and a height of 13.5 cm, to conclude that real soda cans do not seem to have an optimal design. Then use the fact that real soda cans have a double thickness in their top and bottom surfaces to find the radius and height that minimizes the surface area of a real can (the surface areas of the top and bottom are now twice their values in part (3)). Are these dimensions closer to the dimensions of a real soda can? a. The radius is approximately 3.99 cm. (Round to two decimal places as needed.) The height is approximately 7.96 cm. (Round to two decimal places as needed.) b. The new radius is approximately 896.26 cm. (Round to two decimal places as needed.)