Please Help! ASAP

The local high school’s cheerleading squad is selling snow cones during lunch to raise money for a national cheerleading competition. Paper cones are pre-filled with shaved ice and then filled with flavored syrup as customer orders are placed. The paper cones can contain no more than 535 cubic centimeters of shaved ice and syrup. If the paper cone is 8 centimeters deep, what is the largest width of the containers opening? Use 3.14 to approximate π. Round your answer to the nearest whole unit. Include all of your calculations in your final answer.

If possible please add an explanation so I know how to show my work.