Use the following information to answer questions 38-40.
Shown below is an inflatable display (on level ground) of a Lion's Crest Cola can. A blower pumps air into the display at an average rate of 600 cubic feet per minute as it inflates the display. When fully inflated, the display is a right circular cylinder with a diameter of 12 feet and a height of 20 feet. Also shown below is 1 of the support ropes that anchors the display. The rope is attached to the top of the display and has an angle of elevation of 55°. The volume of air in the fully inflated display is equal to the display's height times the area of 1 of the circular bases.
40. Inflatable Schemes, Inc., will manufacture a new inflatable display of a Lion's Crest Cola can that is geometrically similar to the display shown in the figure. The new display will have a height of 35 feet. What will be the diameter, in feet, of the new display?