A typical hot water heater is an insulated tank in the shape of a right cylinder. When two college students share an apartment, the water heater provides just enough water for their needs. After one more student moves in, the demand for hot water increases 35% and a large hot water heater is needed. The original water heater has a diameter of 22 inches and a height of 3 feet. The owner of the building finds a sale on water heaters with diameters of 24 inches, but several options for height, in 1 foot increments. Find the smallest height of a water heater that the owner could but to meet the needs of the three roommates