Suppose you are trying to decide between a sugar cone and a waffle cone. The sugar cone has a diameter of 2.5 inches and a height of 4.5 inches. The waffle cone is a bit bigger having a diameter of 3.5 inches and a height of 6 inches. By volume, how much more ice-cream inside the cone can the waffle cone hold then the sugar cone?

Answer:Step-by-step explanation:The formula for the volume of a cone is expressed as Volume of cone = 1/3 ×πr^2hWhere h = vertical height of the coner = radius of the coneπ = constant which has a value of 3.14From the information given,The sugar cone has a diameter of 2.5 inches and a height of 4.5 inches.Radius = Diameter/2Radius of the sugar cone will be 2.5/2 = 1.25 inches.Volume of the sugar cone = 1/3 × 3.14 × 1.25^2 × 4.5 = 7.36inces^3The waffle cone is a bit bigger having a diameter of 3.5 inches and a height of 6 inches.Radius of the waffle cone will be 3.5/2 = 1.75 inchesVolume of the waffle cone = 1/3 × 3.14 × 1.75^2 × 6 = 19.23 inches^3The volume of ice cream that the waffle cone will hold more than the sugar cone will be 19.23 - 7.36 = 11.87 inches^3