Project Group 7 Source: Problem "30, p. 222, with modifications, from the course textbook: Larson, R., Edwards, B. H. (2014). Calculus, 10th Edition. A cylindrical package of height h and radius r to be sent by a postal service can have a maximum combined height and cross-sectional circumference of 108 inches. 1. Write the enclosed volume V as a function of r. 2. i. Find the derivative of V with respect to r ii. Find the critical number(s) of V. i. Use the first or second derivative test to verify that a relative maximum of the function occurs at the appropriate critical number found in Part 2. ii. Determine the dimensions of the cylindrical package that result in maximum volume. iii. What is the maximum volume? 3. i. Use Microsoft Excel to graph the function of the volume of the cylindrical package in terms of r. ii. Verify the maximum volume from the graph 4.