You are able to purchase one of the two different types of hay bales: cylinder shaped or rectangular shaped. The cylinder hay bale is 4 feet high and has a diameter of 6 feet. The rectangular hay bale has a width of 2 feet, height of 1 ½ feet, and length of 3 feet. Note: You must purchase whole bales. 1. Approximately how many rectangular shaped bales would you need to purchase to have the same amount of hay as one cylinder shaped bale? 2. You need 16,000 ft3 of hay to last through the year. Determine how many of each hay bale you would need to purchase if you purchase either all rectangular bales or all cylinder shaped bales. If one cylinder shaped bale costs $20 and one rectangular bale costs $2.75, which will be the better value? 3. Your barn measures 36 feet long, 36 feet wide, and 12 feet high. What is the greatest number of cylinder shaped bales that will fit in the barn? rectangular bales? Which type of hay bale will allow you to fit a greater volume of hay in the barn?